Question

A boy observes that the angle of elevation of the top of a tower is 32 degrees he then walks 8m towards the tower and t he b discovers that the angle of elevation is 43 degrees find the height of the tower

Answer 1

Explanation:

See image

Remember for RIGHT triangles

TAN Φ = opposite leg/adjacent leg

tan32 = h/x or . 624869 = h/x or x = h/.624869

tan 43 = h /(x-8) sub in the value of 'x' from above

.93252 = h / ( h/.624869 -8) solve for 'h'

1.4923 h - 7.46016 = h

h = 15.2 m high