Question

A pole 6 m high casts a shadow `2sqrt(3)` m long on the ground, then the Sun’s elevation is ______.

पर्याय

• 60°

• 45°

• 30°

• 90°

Answer 1

A pole 6 m high casts a shadow `2sqrt(3)` m long on the ground, then the Sun’s elevation is 60°.

Explanation:

Let BC = 6 m be the height of the pole and AB = `2sqrt(3)` m be the length of the shadow on the ground.

Let the Sun's makes an angle θ on the ground.

Now, In ΔABC,

tan θ = `"BC"/"AB"`

⇒ tan θ = `6/(2sqrt(3))`

= `3/sqrt(3) * sqrt(3)/sqrt(3)`

⇒ tan θ = `(3sqrt(3))/3`

= `sqrt(3)`    ...`[∵ tan 60^circ = sqrt(3)]`

= tan 60°  

∴ θ = 60° 

Hence, the Sun's elevation is 60°.