Some Applications of Trigonometry, Course Quiz

From

50

m away, the angle of elevation of a tower's top is

30^\circ

. Find its height.

A

25

m

B

50

m

C

\displaystyle \dfrac{50}{\sqrt{3}}

m

D

50\sqrt{3}

m

A

20

m rope is tied from the top of a pole to the ground, making

30^\circ

with the ground. How tall is the pole?

A

10\sqrt{3}

m

B

40

m

C

10

m

D

20

m

From a

75

m lighthouse, the angle of depression of a ship is

45^\circ

. How far is the ship?

A

75\sqrt{3}

m

B

\displaystyle \dfrac{75}{\sqrt{3}}

m

C

75

m

D

150

m

A pole

6

m high casts a shadow

2\sqrt{3}

m long. Find the Sun's elevation.

A

30^\circ

B

75^\circ

C

45^\circ

D

60^\circ

When an observer looks down at an object, the angle between the horizontal and the line of sight is the:

A Right angle

B Line of sight

C Angle of elevation

D Angle of depression

A

15

m ladder makes

60^\circ

with the ground. How high up the wall does it reach?

A

\displaystyle \dfrac{15}{2}

m

B

15\sqrt{3}

m

C

5\sqrt{3}

m

D

\displaystyle \dfrac{15\sqrt{3}}{2}

m

From two points

40

m apart on the same side of a tower, in line with its foot, the elevations are

30^\circ

and

60^\circ

. Find the height.

A

40\sqrt{3}

m

B

20\sqrt{3}

m

C

20

m

D

\displaystyle \dfrac{40}{\sqrt{3}}

m

From the top of a

30

m tower, two boats on opposite sides have angles of depression

45^\circ

and

45^\circ

. How far apart are they?

A

60

m

B

60\sqrt{3}

m

C

30\sqrt{2}

m

D

30

m

A statue

1.6

m tall stands on a pedestal. From a point on the ground, the elevation of the statue's top is

60^\circ

and of the pedestal's top is

45^\circ

. Find the pedestal's height.

A

0.8(\sqrt{3} + 1)

m

B

1.6

m

C

1.6\sqrt{3}

m

D

0.8(\sqrt{3} - 1)

m

A tower

20\sqrt{3}

m high is

20

m from a point. What is the angle of elevation of its top?

A

60^\circ

B

45^\circ

C

30^\circ

D

90^\circ

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Some Applications of Trigonometry, Course Quiz

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