Question

A vertical tower stands on horizontal plane and is surmounted by a vertical flagstaff of height h metre. At a point on the plane, the angle of elevation of the bottom of the flagstaff is a and that of the top of flagstaff is



b. Prove that the height of the tower is h tan a /tan b- tan a

Answer 1

Answer:

Step-by-step explanation:

Thanks for the question!

I hope it helps you...

Answer 2

Answer:

height(t)=height of tower

h=height of flagstaff

Step-by-step explanation:

tan α= height(t)/x                    tanβ = height(t) + h/x

x=height(t)/tanα         ⇒            height(t)/tanα   = height(t) +h/tanβ

height(t)/tanα-height(t)/tanβ = h/tanβ

height(t){tanα-tanβ}/tanαtanβ=h/tanβ

height=h.tanα/tanα-tanβ