Question

find the angular elevation of the sun when the shadow of a 10 m long pipe is 10√3 metres.

Answer 1

Let AB be the pool and let AC be it's shadow.

Let the angle of elevation of the sun be ¢ .

Then,

/_ ACB = ¢° , /_ CAB = 90°.

AB = 10 m and AC = 10√3 m.

From right ∆ CAB , we have

tan ¢ = AB/AC = 10/10√3 = 1/√3

=> ¢ = 30°

Hence,

The angular elevation of the sun is 30°.

Answer 2

length of pole = 10 m (perpendicular)

Shadow = 10√3 m (base)

Tanθ = P/B

10/10√3

1/√3

Tan(30°)= 1/√3

Therefore, elevation of the sun is 30°