Heights and Distances: Mixed Practice, Quiz

From a point

25

m from a tree, the angle of elevation of its top is

45^\circ

. How tall is the tree?

A

25

m

B

25\sqrt{3}

m

C

\displaystyle \dfrac{25}{\sqrt{3}}

m

D

50

m

A slide of length

18

m makes

60^\circ

with the ground. How high is its top?

A

9\sqrt{3}

m

B

6\sqrt{3}

m

C

18\sqrt{3}

m

D

9

m

The angle of depression from a lighthouse top to a ship equals which angle?

A The angle of elevation of the lighthouse top from the ship

B

90^\circ

minus the angle of elevation

C Twice the angle of elevation

D The angle at the top of the lighthouse inside the triangle

A tree breaks and its top touches the ground

8

m from the foot, the broken part making

30^\circ

with the ground. How tall was the tree?

A

\displaystyle \dfrac{8}{\sqrt{3}}

m

B

\displaystyle \dfrac{16}{\sqrt{3}}

m

C

16

m

D

8\sqrt{3}

m

A person walks

20

m towards a tower and the elevation of its top changes from

30^\circ

to

60^\circ

. How far is the person now from the tower?

A

20

m

B

10

m

C

30

m

D

10\sqrt{3}

m

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Heights and Distances: Mixed Practice, Quiz

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