Angles of Elevation and Depression, Quiz

From a point

30

m from the foot of a tower, the angle of elevation of the top is

60^\circ

. How tall is the tower?

A

60

m

B

10\sqrt{3}

m

C

30

m

D

30\sqrt{3}

m

The angle of elevation of an object seen from below is measured from:

A The ground, at the object's foot

B The vertical line, downwards

C The line of sight, down to the ground

D The horizontal line through the eye, upwards to the line of sight

From the top of a cliff

40

m high, the angle of depression of a boat is

30^\circ

. How far is the boat from the foot of the cliff?

A

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

m

B

80

m

C

40\sqrt{3}

m

D

20

m

A kite string

60

m long makes

30^\circ

with the ground. How high is the kite?

A

60\sqrt{3}

m

B

30\sqrt{3}

m

C

20\sqrt{3}

m

D

30

m

A

16

m ladder leans on a wall making

60^\circ

with the ground. How far is its foot from the wall?

A

8\sqrt{3}

m

B

8

m

C

16\sqrt{3}

m

D

4\sqrt{3}

m

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Angles of Elevation and Depression, Quiz

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