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If a tower 30 m high, casts a shadow 10...

If a tower 30 m high, casts a shadow `10sqrt3m` long on the ground, then what is the angle of elevation of the sun ?

A

`60^0`

B

`90^0`

C

`45^0`

D

`30^0`

Text Solution

Verified by Experts

The correct Answer is:
A
Let AB be the pole and let AC be its shadow.
Let the angle of elevation of the sum be `theta^(@)`.
Then, `angleACB = theta, angleCAB = 90^(@)`.
`AB = 30 m` and `AC = 10sqrt(3)m` .
From right `DeltaCAB`, we have
`tan theta = (AB)/(AC) = 30/(10sqrt(3)) = sqrt(3)`.
`rArr theta = 60^(@)`.
Hence, the angular elevation of the sum is `60^(@)`.
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