Question

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

Answer 1

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

Explanation:

Let θ be the Sun's elevation.

Then `tan θ = "height"/"shadow length"` 

= `6/(2sqrt(3))` 

= `3/sqrt(3)`

= `sqrt(3)`

So θ = `arctan(sqrt(3))` = 60°.