Question

A vertical pole is 90m high and the length of its shadow is `90sqrt(3)`. what is the angle of elevation of the sun  ?

Answer 1

Let AB be the pole and BC be its shadow.

In ΔABC,

tanθ = `"AB"/"BC"`

⇒ `tanθ = 90/(90sqrt(3)) = 1/sqrt(3)`

But, `tan30^circ = 1/sqrt(3)`

∴ `θ = 30^circ`

Thus , the angle of elevation is `30^circ`.