Question

The angle of elevation of the top of a hill from it's foot is 30⁰.if the height of the hill is 209 m, what is the distance of the center of the hill from its foot

Answer 1

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Answer 2

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MATHS

The angle of elevation of the top of a hill from the foot of a tower is 60

o

and the angle of elevation of the top of the tower from the foot of the hill is 30

o

. If the tower is 50 m high, find the height of the hill.

December 20, 2019avatar

Udit Waswani

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ANSWER

Let AB be the tower and CD be the hill. Then, ∠ACB=30

o

,∠CAD=60

o

and AB=50 m.

Let CD=x m

In right △BAC, we have,

cot30

o

=

AB

AC

3

=

50

AC

AC=50

3

m

In right △ACD, we have,

tan60

o

=

AC

CD

3

=

50

3

x

x=50×3=150 m

Therefore, the height of the hill is 150 m.