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Questions  

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 the hill is

a
h cot pcotp−cotq
b
h cot qcotp−cotq
c
h cot pcotp+cotq
d
h cot qcotp+cotq

detailed solution

Correct option is A

We have tanq=xd⇒d=xcotq,tanp=x−hd⇒d=x−hcotp⇒xcotq=x−hcotp⇒xcotp−xcotq=hcotp⇒x=hcotpcotp−cotq

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