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 the hill is

(a) \(\frac {h \tan p}{\tan p - \tan q}\)

(b) \(\frac {h \tan q}{\cot q - \cot p}\)

(c) \(\frac {h \tan p}{\cot p - \cot q}\)

(d) \(\frac {h \cot q}{\cot q - \cot p}\) 

Answer 1

Correct option is (c) \(\frac {h \tan p}{\cot p - \cot q}\) 

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