Question

Question #e9b62

Answer 1

Height=192 m

Explanation:

Let the height of tower be h m.and the distance of first position from the foot of tower be x m.So the distance of 2nd position from the foot of tbe tower will be x-32 m.

Your correction is tangent in place of cotanget

Hence

For 1st position

`h/x=tan("angle of elevation-1")=3/5.....(1)`

For 2nd position

`h/(x-32)=tan("angle of elevation-2")=2/3..(2)`

From (1) and (2) after inverting and subtracting we can write

`x/h-(x-32)/h=5/3-3/2`

`32/h=1/6`

`:.h=32xx6=192m`