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The angle of depression of the top and t...

The angle of depression of the top and the bottom of a 7 m tall building from the top of a tower ar `45^(@) and 60^(@)` respectively. Find the height of the tower in metres.

A

`7(3+sqrt3)`

B

`(7)/(2)(3-sqrt3)`

C

`(7)/(2)(3+sqrt3)`

D

`7(3-sqrt3)`

Text Solution

Verified by Experts

The correct Answer is:
A
The following figure is drawn as per the description in the problem.

Use the figure, to find DC from `DeltaADC and AB from DeltaAEB as DC = BE`.
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