Quiz about Find the Missing Angle and Sides in a Right Triangle Using Trigonometric Functions

Question 1

What trig function can be used to solve for the missing angle?

Accepted Answer

Sine

Accepted Answer

Cosine

Accepted Answer

Tangent

Question 2

How do you solve for the missing variable in this triangle?

Accepted Answer

Set up a tangent ratio, then divide to solve

Answer

Set up a sine ratio, then multiply to solve

Answer

Set up a cosine ratio, then divide to solve.

Answer

Set up a sine ratio and then use the inverse sine to solve

Question 3

When deciding on whether to use the Sine, Cosine or Tangent ratio, you must look at what is given and what is required to find on the triangle.

Accepted Answer

True

Answer

False

Question 4

SOH CAH TOA can be used to find an angle or a side on a right-angled triangle.

Accepted Answer

True

Answer

False

Question 5

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 6

Find the measure of angle A using an inverse trig ratio.

Accepted Answer

61.9 degrees

Answer

28.1 degrees

Answer

25.2 degrees

Answer

.99997 degrees

Question 7

Find the length of side w.

Accepted Answer

18.0 cm

Answer

21.4 cm

Answer

36.5 cm

Answer

43.6 cm

Question 8

Solve for x. Round to the nearest tenth.

Accepted Answer

16.6

Answer

15.3

Answer

24.1

Answer

24.3

Question 9

Solve for x. Round to the nearest tenth.

Accepted Answer

5.6

Answer

25.7

Answer

35.4

Answer

6.4

Question 10

Find the measure of the missing angle.

Accepted Answer

26o

Answer

64o

Answer

61o

Answer

8o

Question 11

Solve for the missing angle

Accepted Answer

36.9 degrees

Answer

50.5 degrees

Answer

12.7 degrees

Answer

72.2 degrees

Question 12

Find the length of the missing side.

Accepted Answer

13 cm

Answer

17 cm

Answer

22 cm

Answer

15 cm

Question 13

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 14

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 15

Find the measure of the indicated side.

Accepted Answer

$$15.2$$

Answer

$$11.3$$

Answer

$$11.8$$

Answer

$$13$$

Find the Missing Angle and Sides in a Right Triangle Using Trigonometric Functions

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