heights and distances

 

 

tan θ = (H - h)/x

H = xtan θ + h .......(1)

Now,

tan Φ = h/x,

x = h/tan Φ

Put for x in (1),

H = (h/tan Φ) tan θ + h

= h((tan θ/tan Φ) + 1)

= h(tan θ cot Φ + 1)

Regards,

Team,

TopperLearning.