Quiz about Applications of Trig

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

Which scenario describes the picture shown?

Accepted Answer

An 8 foot ramp leans
against a building 5 feet away. What angle does the ramp make with the ground?

Answer

5 foot ramp is 8 feet away from a building. What is the angle that the ramp makes with the ground?

Answer

5 foot ramp leans against an 8 foot structure. What is the angle that the ramp makes with the ground?

Answer

5 foot man is 8 feet away from a building. What is the angle of elevation?

Question 3

Which trigonometric ratio should you use?

Accepted Answer

Sine Ratio

Answer

Tangent Ratio

Answer

Cosine Ratio

Answer

Any ratio

Question 4

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 5

A person is looking at the top of a building at an angle of elevation of $$45^\circ$$ . If the person is standing 20 metres away from the building, how tall is the building?

Accepted Answer

20 metres

Answer

40 metres

Answer

28.28 metres

Answer

14.14 metres

Question 6

When the angle of elevation of the sun is 78 degrees, an statue casts a shadow that is 6m long. How far is the top of the statue to the end of its shadow?

Accepted Answer

28.9 m

Answer

2 m

Answer

6.1 m

Answer

28.2 m

Question 7

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 8

When the angle of elevation of the sun is 78 degrees, an statue casts a shadow that is 6m long. What trig function would you use to determine how the top of the statue is from the end of its shadow?

Accepted Answer

Cosine

Answer

Sine

Answer

Tangent

Answer

Cotangent

Answer

Cocosine

Question 9

Solve for the missing angle

Accepted Answer

36.9 degrees

Answer

50.5 degrees

Answer

12.7 degrees

Answer

72.2 degrees

Question 10

We can use SOH-CAH-TOA for...

Accepted Answer

Right Triangles only

Answer

Any triangle ever

Answer

Non-right triangles only

Answer

Never

Question 11

If you are given the two sides that are NOT the hypotenuse, which trig function should you use?

Accepted Answer

tangent

Answer

sine

Answer

cosine

Answer

cotangent

Question 12

Find h2

Accepted Answer

16.73 ft

Answer

22.51 ft

Answer

18.59 ft

Answer

20.79 ft

Question 13

Find side AB?

Accepted Answer

8.66 m

Answer

20 m

Answer

5 m

Answer

11.54 m

Question 14

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 closest to the height of the lighthouse?

Accepted Answer

45 feet

Answer

25 feet

Answer

110 feet

Answer

135 feet

Question 15

A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. How many degrees should the tourist tilt his camera down to photograph the deer? Round your answer to the nearest degree.

Accepted Answer

19 degrees

Answer

45 degrees

Answer

71 degrees

Answer

138 degrees

Question 16

You are on a ship at sea. You see a lighthouse in the distance. You know the lighthouse is 175 feet tall. You measure the angle of elevation to the top of the lighthouse at 5^o. How far are you from the bottom of the lighthouse?

Accepted Answer

2000.3 feet

Answer

2007.3 feet

Answer

1997.9 feet

Answer

2134.8 feet

Question 17

You are attacking an enemy castle. Your strategy is to go over the castle wall. You are 1500 meters away from the bottom of the wall. You measure the angle of elevation to the top of the wall at 3^o. How tall is the enemy castle wall?

Accepted Answer

78.6 meters

Answer

1498.0 meters

Answer

78.5 meters

Answer

75.3 meters

Question 18

Find h1

Accepted Answer

9.00 ft

Answer

6.69 ft

Answer

11.11 ft

Answer

7.43 ft

Question 19

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

Applications of Trig

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