Title: (Canvas-Quiz)G8_Right Triangles Trig
Course: HBUHSD Geometry Resource Course > Section: Unit 5: Right Triangles and Trigonometric Ratios

Q: Find the length of the missing side. The triangle is not drawn to scale.
- 10
- 48
- 28
- 100
A: 10

Q: Find the length of the missing side. The triangle is not drawn to scale.
- 8
- 64
- 4
- 23
A: 8

Q: Triangle ABC has side lengths 3, 4, and 5. Do the side lengths form a Pythagorean triple? Explain.
- No, they do not form a Pythagorean triple; although , the side lengths do not meet the other requirements of a Pythagorean triple.
- No, they do not form a Pythagorean triple; .
- Yes, they form a Pythagorean triple; and 3, 4, and 5 are all nonzero whole numbers.
- Yes; they can form a right triangle, so they form a Pythagorean triple.
A: Yes, they form a Pythagorean triple; and 3, 4, and 5 are all nonzero whole numbers.

Q: Find the length of the missing side. Leave your answer in simplest radical form.
- ft
- ft
- 296 ft
- ft
A: ft

Q: Find the length of the missing side. Leave your answer in simplest radical form.
- ft
- ft
- ft
- ft
A: ft

Q: Wayne used the diagram to compute the distance from Ferris, to Dunlap, to Butte. How much shorter is the distance directly from Ferris to Butte than the distance Wayne found?
- 20 mi
- 25 mi
- 10 mi
- 35 mi
A: 10 mi

Q: A grid shows the positions of a subway stop and your house. The subway stop is located at (–7, 8) and your house is located at (6, 4). What is the distance, to the nearest unit, between your house and the subway stop?
- 19
- 14
- 24
- 11
A: 14

Q: The figure is drawn on centimeter grid paper. Find the perimeter of the shaded figure to the nearest tenth.
- 17.6 cm
- 10.8 cm
- 15.6 cm
- 18.0 cm
A: 17.6 cm

Q: A triangle has sides of lengths 27, 79, and 84. Is it a right triangle? Explain.
- yes;
- no;
- yes;
- no;
A: no;

Q: A triangle has sides of lengths 24, 143, and 145. Is it a right triangle? Explain.
- yes;
- no;
- yes;
- no;
A: yes;

Q: A triangle has side lengths of 12 cm, 35 cm, and 37 cm. Classify it as acute, obtuse, or right.
- obtuse
- right
- acute
A: right

Q: A triangle has side lengths of 23 in, 6 in, and 28 in. Classify it as acute, obtuse, or right.
- obtuse
- right
- acute
A: obtuse

Q: Find the length of the hypotenuse.
- 12
- 6
- 5
- 18
A: 6

Q: In triangle ABC, is a right angle and 45°. Find BC. If your answer is not an integer, leave it in simplest radical form.
- 10 ft
- 20 ft
- 10 ft
- 20 ft
A: 10 ft

Q: Find the length of the leg. If your answer is not an integer, leave it in simplest radical form.
- 288
- 24
A: (a choice with no text)

Q: Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tenth.
- x = 5.7, y = 6.9
- x = 6.9, y = 5.7
- x = 11.3, y = 8
- x = 8, y = 11.3
A: x = 11.3, y = 8

Q: Find the value of the variable. If your answer is not an integer, leave it in simplest radical form.
A: (a choice with no text)

Q: The area of a square garden is 98 m^2. How long is the diagonal?
- 49 m
- 14 m
- m
- 196 m
A: 14 m

Q: Quilt squares are cut on the diagonal to form triangular quilt pieces. The hypotenuse of the resulting triangles is 10 inches long. What is the side length of each piece?
- 5
- 5
- 10
- 5
A: 5

Q: Find the length, d, in simplest radical form, of the diagonal of a cube with sides of s units.
- 3s
A: (a choice with no text)

Q: Find the value of x and y rounded to the nearest tenth.
- x = 48.1, y = 46.4
- x = 48.1, y = 139.3
- x = 24.0, y = 139.3
- x = 24.0, y = 46.4
A: x = 24.0, y = 46.4

Q: The length of the hypotenuse of a 30°–60°–90° triangle is 9. Find the perimeter.
- 27 + 9
- +
- +
- 9 + 27
A: +

Q: Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
A: (a choice with no text)

Q: Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
- x = , y = 8
- x = 8, y =
- x = 24, y =
- x = , y =
A: x = 24, y =

Q: Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
- x = , y = 11
- x = , y = 22
- x = 22, y =
- x = 11, y =
A: x = , y = 22

Q: A piece of art is in the shape of an equilateral triangle with sides of 6 in. Find the area of the piece of art. Round your answer to the nearest tenth.
- 12.7 in.^2
- 15.6 in.^2
- 31.2 in.^2
- none of these
A: 15.6 in.^2

Q: A sign is in the shape of a rhombus with a 60° angle and sides of 12 cm long. Find its area to the nearest tenth.
- 62.4 cm^2
- 5.2 cm^2
- 124.7 cm^2
- 10.4 cm^2
A: 124.7 cm^2

Q: A conveyor belt carries supplies from the first floor to the second floor, which is 26 feet higher. The belt makes a 60° angle with the ground.

How far do the supplies travel from one end of the conveyor belt to the other? Round your answer to the nearest foot.

If the belt moves at 75 ft/min, how long, to the nearest tenth of a minute, does it take the supplies to move to the second floor?
- 45 ft; 37 min
- 37 ft; 22.5 min
- 30 ft; 0.4 min
- 15 ft; 1.1 min
A: 30 ft; 0.4 min

Q: Find the missing value to the nearest hundredth.
- 76.56
- 61.56
- 47.56
- 89.12
A: 89.12

Q: Find the missing value to the nearest hundredth.
- 23.58
- 66.42
- 21.8
- 63.21
A: 66.42

Q: Find the missing value to the nearest hundredth.
- 74.74
- 14.74
- 55.37
- 15.26
A: 15.26

Q: Write the ratios for sin X and cos X.
A: (a choice with no text)

Q: Write the tangent ratios for and .
A: (a choice with no text)

Q: Write the tangent ratios for and .
A: (a choice with no text)

Q: Write the ratios for sin A and cos A.
A: (a choice with no text)

Q: Use a trigonometric ratio to find the value of x. Round your answer to the nearest tenth.
- 2.6
- 4.8
- 3.4
- 3.1
A: 4.8

Q: Use a trigonometric ratio to find the value of x. Round your answer to the nearest tenth.
- 6.2 cm
- 12.7 cm
- 15.5 cm
- 10.9 cm
A: 6.2 cm

Q: Use a trigonometric ratio to find the value of x. Round your answer to the nearest tenth.
- 5
- 5.8
- 17.3
- 8.7
A: 5.8

Q: Find the value of x. Round to the nearest tenth.
- 14.5
- 10.7
- 10.2
- 14.2
A: 14.2

Q: Find the value of x. Round to the nearest tenth.
- 12.8
- 8.1
- 8.2
- 12.4
A: 8.1

Q: Find the value of x. Round to the nearest tenth.
- 55.6
- 55.8
- 6.7
- 6.5
A: 55.6

Q: Find the value of x. Round to the nearest tenth.
- 6.2
- 38.4
- 5.9
- 38.5
A: 5.9

Q: A slide 4.1 meters long makes an angle of 35 with the ground. To the nearest tenth of a meter, how far above the ground is the top of the slide?
- 7.1 m
- 3.4 m
- 5.0 m
- 2.4 m
A: 2.4 m

Q: Viola drives 2 kilometers up a hill that makes an angle of 9 with the horizontal. To the nearest tenth of a kilometer, what horizontal distance has she covered?
- 12.6 km
- 3.2 km
- 2 km
- 0.3 km
A: 2 km

Q: The students in Mr. Collin’s class used a surveyor’s measuring device to find the angle from their location to the top of a building. They also measured their distance from the bottom of the building. The diagram shows the angle measure and the distance. To the nearest foot, find the height of the building.
- 2400 ft
- 72 ft
- 308 ft
- 33 ft
A: 308 ft

Q: A large totem pole in the state of Washington is 100 feet tall. At a particular time of day, the totem pole casts a 249-foot-long shadow. Find the measure of to the nearest degree.
- 68
- 45
- 35
- 22
A: 22

Q: Find the value of w, then x. Round lengths of segments to the nearest tenth.
- w = 13.3, x = 10.2
- w = 10.8, x = 6.1
- w = 13.3, x = 23.6
- w = 10.8, x = 16.9
A: w = 13.3, x = 10.2

Q: Find the value of x. Round to the nearest degree.
- 60
- 57
- 29
- 33
A: 57

Q: Find the value of x. Round to the nearest degree.
- 53
- 37
- 49
- 39
A: 53

Q: Find the value of x to the nearest degree.
- 24
- 66
- 69
- 58
A: 66

Q: Find the value of x to the nearest degree.
- 67
- 23
- 83
- 53
A: 23

Q: Find the value of w and then x. Round lengths to the nearest tenth and angle measures to the nearest degree.
- w = 7.7, x = 44
- w = 6.4, x = 54
- w = 7.7, x = 54
- w = 6.4, x = 44
A: w = 7.7, x = 44

Q: What is the description of as it relates to the situation shown?
- is the angle of depression from the airplane to the radar tower.
- is the angle of elevation from the airplane to the radar tower.
- is the angle of elevation from the radar tower to the airplane.
- is the angle of depression from the radar tower to the airplane.
A: is the angle of elevation from the radar tower to the airplane.

Q: Find the angle of elevation of the sun from the ground when a tree that is 10 yards tall casts a shadow 14 yards long. Round to the nearest degree.
- 54
- 36
- 46
- 44
A: 36

Q: Find the value of x. Round the length to the nearest tenth.
- 42.7 m
- 6.5 m
- 14.8 m
- 6 m
A: 6 m

Q: Find the value of x. Round the length to the nearest tenth.
- 6.5 ft
- 4.7 ft
- 9.9 ft
- 5.8 ft
A: 6.5 ft

Q: Find the value of x. Round the length to the nearest tenth.
- 6.9 cm
- 9.8 cm
- 8.4 cm
- 17.1 cm
A: 8.4 cm

Q: Find the value of x. Round the length to the nearest tenth.
- 777.9 m
- 595.9 m
- 321.4 m
- 652.7 m
A: 777.9 m

Q: Find the value of x. Round the length to the nearest tenth.
- 4.6 yd
- 10 yd
- 23.6 yd
- 5.1 yd
A: 5.1 yd

Q: To find the height of a pole, a surveyor moves 140 feet away from the base of the pole and then, with a transit 4 feet tall, measures the angle of elevation to the top of the pole to be 44. To the nearest foot, what is the height of the pole?
- 145 ft
- 149 ft
- 135 ft
- 139 ft
A: 139 ft

Q: A spotlight is mounted on a wall 7.4 feet above a security desk in an office building. It is used to light an entrance door 9.3 feet from the desk. To the nearest degree, what is the angle of depression from the spotlight to the entrance door?
- 39
- 51
- 53
- 37
A: 39

Q: An airplane pilot over the Pacific sights an atoll at an angle of depression of 5. At this time, the horizontal distance from the airplane to the atoll is 4629 meters. What is the height of the plane to the nearest meter?
- 403 m
- 405 m
- 4611 m
- 4647 m
A: 405 m

Q: To approach the runway, a pilot of a small plane must begin a 10 descent starting from a height of 1983 feet above the ground. To the nearest tenth of a mile, how many miles from the runway is the airplane at the start of this approach?
- 2.2 mi
- 0.4 mi
- 11,419.6 mi
- 2.1 mi
A: 2.2 mi

Q: Use the Law of Sines to find the missing side of the triangle.

Find b.
- 70.1
- 43.8
- 57.1
- 31.5
A: 43.8

Q: Use the Law of Sines to find the missing side of the triangle.

Find the measure of given  = 55°, = 44°, and b = 68.
- 45.22
- 96.68
- 88.19
- 81.12
A: 96.68

Q: Use the Law of Sines to find the missing side of the triangle.

Find the measure of b, given  = 38°, = 74°, and a = 31.
- 19.9
- 18.3
- 37.8
- 48.4
A: 48.4

Q: Use the Law of Sines to find the missing side of the triangle.

Suppose you are given information about a triangle according to SSS, SAS, AAS, and ASA.  For which of these can you immediately use the Law of Sines to find one of the remaining measures?
- SAS and AAS
- AAS only
- SAS only
- ASA, AAS, and SSS
A: AAS only

Q: Use the Law of Sines to find the missing angle of the triangle.

Find to the nearest tenth.
- 156.6°
- 94.8°
- 23.4°
- 85.2°
A: 85.2°

Q: Use the Law of Sines to find the missing angle of the triangle.

Find to the nearest tenth.
- 24.6°
- 76.3°
- 65.7°
- 155.4°
A: 76.3°

Q: Use the Law of Sines to find the missing angle of the triangle.

Find to the nearest tenth if , , and .
- 27.7°
- 112.1°
- 152.3°
- 67.9°
A: 67.9°

Q: Use the Law of Sines to find the missing angle of the triangle.

Find given that 83, 44, and 31.
- 76.3°
- 15.8°
- 72.7°
- 164.2°
A: 72.7°

Q: Use the Law of Cosines to find the missing angle.

In , g = 8 ft, h = 13 ft, and = 72°. Find . Round your answer to the nearest tenth.
- 26.2°
- 35.9°
- 72.1°
- 32.5°
A: 35.9°

Q: Use the Law of Cosines to find the missing angle.

In , g = 5 ft, h = 22 ft, and = 50°. Find the measure of f.  Round your answer to the nearest whole number.
- 18
- 13
- 19
- 21
A: 19

Q: Use the Law of Cosines to find the missing angle.

Find the measure of .
- 3
- 6
- 8
- 16
A: 6

Q: Use the Law of Cosines to find the missing angle.

Find to the nearest tenth of a degree.
- 31.8°
- 48.0°
- 86.7°
- 38.3°
A: 31.8°

Q: Use the Law of Cosines to find the missing angle.

Find , given a = 11, b = 12, and c = 17.
- = 49.9°
- = 40.1°
- = 45.3°
- = 44.7°
A: = 44.7°

Q: Use the Law of Cosines to find the missing angle.

In , j = 12 cm, k = 9 cm, and l = 9.75 cm. Find .
- 47°
- 59°
- 40°
- 79°
A: 79°

Q: Use the Law of Cosines to find the missing angle.

Suppose you are given information about a triangle according to SSS, SAS, and ASA.  For which of these can you immediately use the Law of Cosines to find one of the remaining measures?
- SAS and ASA
- SSS only
- SAS only
- SSS and SAS
A: SSS and SAS

Q: Use the Law of Cosines to solve the problem.

On a baseball field, the pitcher’s mound is 60.5 feet from home plate. During practice, a batter hits a ball 216 feet deep. The path of the ball makes a 34° angle with the line connecting the pitcher and the catcher, to the right of the pitcher’s mound. An outfielder catches the ball and throws it to the pitcher. How far does the outfielder throw the ball?
- 207.4 ft
- 224.3 ft
- 169.3 ft
- 198.7 ft
A: 169.3 ft

Q: For each triangle shown below, determine whether you would use the Law of Sines or Law of Cosines to find angle x.  Then find angle x to the nearest tenth.
- 36.1° by The Law of Sines
- 66.2° by The Law of Cosines
- 66.2° by The Law of Sines
- 36.1° by The Law of Cosines
A: 36.1° by The Law of Cosines

Q: For each triangle shown below, determine whether you would use the Law of Sines or Law of Cosines to find angle x.  Then find angle x to the nearest tenth.
- 8.8 by The Law of Sines (SSA)
- 22.9 by The Law of Cosines (SAS)
- 10.7 by The Law of Sines (SAS)
- 68.3 by The Law of Cosines (SSS)
A: 10.7 by The Law of Sines (SAS)

Q: For each triangle shown below, determine whether you would use the Law of Sines or Law of Cosines to find angle x.  Then find angle x to the nearest tenth.

The perimeter of
- °  by The Law of Sines
- °  by The Law of Cosines
- °  by The Law of Sines
- 47.0°  by The Law of Cosines
A: 47.0°  by The Law of Cosines