Question

The top
of a hill observed from the top and bottom
of a building of height h is at angles of elevation
p and q respectively. The height of hill is​

Answer 1

Step-by-step explanation:

Let AD=h is the height of the building and PB is height of the hill.

and tan q = (h+x)/y

and tan p = x/y

⇒ y= x cot p

Now, tan q = (h+x)/ (x cot p)

⇒x cot p = (h+x) cot q

⇒ x= (h cot q)/(cot p - cot q)

∴h + x = h +[(h cot q )/(cot p - cot q)] = [(h cot p )/(cot p - cot q)]