The elevation of a hill from a point P due east of it is θ and at a place Q - Maths - Some Applications of Trigonometry

Question

The elevation of a hill from a point P due east of it is
θ and at a place Q due south of P, the elevation is φ If
the distance PQ be d, find the height of the hill

Priyanka Kedia · Accepted Answer

In âˆ†PAB,

And in âˆ†ABQ,

Also from right angled triangle APQ, we get,

Hence, height of the hill is

The elevation of a hill from a point P due east of it is θ and at a place Q due south of P, the elevation is φ. If the distance PQ be d, find the height of the hill.