Applications of trigonometry test, 9 grade

Question Nr. 1 out of 10

An object is 60 m high and the observation angle has tangent 1.00. Find the horizontal distance.

48 m

60 m

37 m

67 m

1 m

Question Nr. 2 out of 10

An observer is 30 m from a building. The tangent of the elevation angle is 0.50. Find the height.

27 m

21 m

30 m

29 m

15 m

Question Nr. 3 out of 10

An observer is 100 m from a building. The tangent of the elevation angle is 0.50. Find the height.

15 m

50 m

79 m

13 m

31 m

Question Nr. 4 out of 10

A plane travels 40 m along a path whose angle has sine 0.80. How high does it climb?

32 m

30 m

31 m

25 m

36 m

Question Nr. 5 out of 10

An object casts a 35 m shadow and the sun angle has tangent 1.50. Find the height.

27.8

52.5

1.67

5.95

30.19

Question Nr. 6 out of 10

A road rises 1 m over 90 m horizontally. What is the percentage grade?

1.06

4.15

4.45

3

1.11

Question Nr. 7 out of 10

What does an angle of elevation mean in a practical trigonometry problem?

The angle inside the object

The angle between the horizontal and the upward line of sight

The angle between two vertical lines

Always a 90° angle

Question Nr. 8 out of 10

An object is 120 m high and the observation angle has tangent 2.00. Find the horizontal distance.

69 m

60 m

45 m

50 m

90 m

Question Nr. 9 out of 10

What exactly does a 12% road grade mean?

The height always equals 112 units

The road angle is 12°

A 12% slope means a rise of 12 units per 100 horizontal units

The road length is 12 units

Question Nr. 10 out of 10

The opposite and adjacent sides are known. Which function is best for finding the angle?

No trigonometric ratio applies

Sine, because no hypotenuse is needed

Cosine, because it uses two legs

Tangent, because it relates opposite and adjacent sides

Test: Applications of trigonometry