Quiz about Right Triangle Trig Application Problems

Question 1

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 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

Solve for the missing distance.

Accepted Answer

18.9

Answer

19.5

Answer

47

Answer

27.5

Question 4

Elizabeth is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree. HINT: USE SIN, COS OR TAN TO ANSWER THIS QUESTION BASED OFF OF THE ANGLE YOU ARE GIVEN IN RELATION TO THE SIDES OF THE TRIANGLE THAT YOU ARE GIVEN.

Accepted Answer

86.9 ft

Answer

63.6 ft

Answer

1.59 ft

Answer

74.2 ft

Question 5

Solve for IR

Accepted Answer

7

Answer

28

Answer

$$14\sqrt{3}$$

Answer

$$14\sqrt{2}$$

Question 6

A ladder is leaning against a wall. The foot of the ladder is 6.5 feet from the wall. The ladder makes an angle of $$74^o$$ with the level ground. How high on the wall does the ladder reach? Which of the ratio is the appropriate for the problem?

Accepted Answer

$$ an heta=\frac{opposite}{hypotenuse}$$

Answer

$$\sin heta=\frac{opposite}{hypotenuse}$$

Answer

$$\cos heta=\frac{adjacent}{hypotenuse}$$

Question 7

Find a.

Accepted Answer

$$3\sqrt{3}$$

Answer

3

Answer

6

Answer

$$\sqrt{3}$$

Question 8

A ladder is leaning against a wall. The foot of the ladder is 6.5 feet from the wall. The ladder makes an angle of $$74^o$$ with the level ground. How high on the wall does the ladder reach? Which of the ratio is the appropriate for the problem?

Accepted Answer

$$ an heta=\frac{opposite}{hypotenuse}$$

Answer

$$\sin heta=\frac{opposite}{hypotenuse}$$

Answer

$$\cos heta=\frac{adjacent}{hypotenuse}$$

Question 9

Right triangle ABC is shown.

Select all expressions which are equal to the length of side BC .

Accepted Answer

$$\sqrt[]{6^2-4.9^2}$$

Accepted Answer

$$\frac{4.9}{ an\left(55 ight)}$$

Accepted Answer

$$6 imes\cos\left(55 ight)$$

Answer

$$\frac{4.9}{\sin\left(55\right)}$$

Answer

$$\frac{6}{\cos\left(55\right)}$$

Question 10

Elizabeth 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

86.9 ft

Answer

63.6 ft

Answer

1.59 ft

Answer

74.2 ft

Question 11

A person is standing 50 metres away from a tree. The angle of elevation to the top of the tree is $$30^\circ$$ . How tall is the tree?

Accepted Answer

28.87 metres

Answer

25 metres

Answer

50 metres

Answer

43.3 metres

Question 12

A flagpole casts a shadow of 15 meters when the angle of elevation of the sun is $$60^\circ$$ . What trig function would you use to find the height of the flagpole?

Accepted Answer

Tangent

Answer

Sine

Answer

Cosine

Answer

Cotangent

Answer

Cocosine

Question 13

Which trig function would help you solve for the missing angle?

Accepted Answer

tangent

Answer

sine

Answer

cosine

Answer

pythagorean theorem

Question 14

A 14 ft. ladder leans against the side of a house. The bottom of the ladder is 8 ft. away from the side of the house. Find x, the angle of elevation of the ladder. Round your answer to the nearest tenth.

Accepted Answer

$$55.2\degree$$

Answer

$$34.8\degree$$

Answer

$$29.7\degree$$

Answer

$$60.3\degree$$

Question 15

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

Accepted Answer

40 miles

Answer

17 miles

Answer

32 miles

Answer

37 miles

Question 16

The bottom of a 13-foot ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?

Accepted Answer

12 feet

Answer

13.9 feet

Question 17

What trigonometric ratio would be used to find the distance from the ship to the plane?

Accepted Answer

sine

Answer

cosine

Answer

tangent

Answer

inverse sine

Question 18

What is the length of the cable?

Accepted Answer

92.4 ft

Answer

69.3 ft

Answer

89.3 ft

Answer

46.2 ft

Right Triangle Trig Application Problems

20 questions

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.

A kite is flying 78 ft above the ground, and the string is pulled taut. The angle of elevation of the kite is 65°. Find the length of the string. Round your answer to the nearest tenth.

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.

Solve for the missing distance.

Elizabeth is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree. HINT: USE SIN, COS OR TAN TO ANSWER THIS QUESTION BASED OFF OF THE ANGLE YOU ARE GIVEN IN RELATION TO THE SIDES OF THE TRIANGLE THAT YOU ARE GIVEN.

Solve for IR

Find a.

An 18 – foot high lamppost casts a shadow. If the angle of elevation from the tip of the shadow to the sun is 54⁰, what is the length of the shadow?

Which of the following trigonometric ratios will solve the given problem?

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Right Triangle Trig Application Problems

20 questions

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.

A kite is flying 78 ft above the ground, and the string is pulled taut. The angle of elevation of the kite is 65°. Find the length of the string. Round your answer to the nearest tenth.

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.

Solve for the missing distance.

Elizabeth is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree. HINT: USE SIN, COS OR TAN TO ANSWER THIS QUESTION BASED OFF OF THE ANGLE YOU ARE GIVEN IN RELATION TO THE SIDES OF THE TRIANGLE THAT YOU ARE GIVEN.

Solve for IR

Find a.

An 18 – foot high lamppost casts a shadow. If the angle of elevation from the tip of the shadow to the sun is 540, what is the length of the shadow?Which of the following trigonometric ratios will solve the given problem?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

An 18 – foot high lamppost casts a shadow. If the angle of elevation from the tip of the shadow to the sun is 54⁰, what is the length of the shadow?

Which of the following trigonometric ratios will solve the given problem?