Quiz about Solving Right Triangles with Trigonometry

Question 1

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

Accepted Answer

87 ft

Answer

63 ft

Answer

65 ft

Answer

74 ft

Question 2

A ramp is being built next to a 4-inch high sidewalk. The ramps angle of inclination is 10 degrees. Estimate the length of the ramp to the nearest tenth of an inch.

Accepted Answer

22.7 inches

Answer

4.1 inches

Answer

3.9 inches

Answer

0.7 inches

Question 3

A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. The distance between the yacht and the top of the lighthouse is about 100 feet. Which of these is nearest to the height of the lighthouse?

Accepted Answer

45 feet

Answer

25 feet

Answer

110 feet

Answer

135 feet

Question 4

A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.

Accepted Answer

71 degrees

Answer

19 degrees

Answer

45 degrees

Answer

138 degrees

Question 5

Find, to the nearest degree, the angle which the sun's rays make with the ground when a flagpole 40 feet high casts a shadow 30 feet long.

Accepted Answer

53o

Answer

48o

Answer

37o

Answer

28o

Question 6

Find the measure of the indicated side.

Accepted Answer

$$15.2$$

Answer

$$11.3$$

Answer

$$11.8$$

Answer

$$13$$

Question 7

Find the value of side c if o and a = 8

Accepted Answer

8.8

Answer

3.6

Answer

7.3

Answer

9.4

Question 8

Find the value of side a given o and b = 4

Accepted Answer

1.4

Answer

11.6

Answer

3.8

Answer

4.2

Question 9

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?

Accepted Answer

30 ft

Answer

7.5 ft

Answer

15 ft

Answer

26 ft

Question 10

Find the measure of the missing angle.

Accepted Answer

49o

Answer

50o

Answer

41o

Answer

33o

Question 11

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

Accepted Answer

27 feet

Answer

25 feet

Answer

26 feet

Answer

28 feet

Solving Right Triangles with Trigonometry

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