Question

An electric pole is 10m high if it's shadow is 10×√3 in length find the elevation ofthe sum

Answer 1

First, Look at the attached picture as a reference.

Now, using Pythagoras theorem,


`AC^2=AB^2+BC^2 \\\\AC=√(AB^2+BC^2 )\\\\AC=√(10^2+(10\sqrt3)^2)\\\\ AC = √(100+300)\\\\AC=√(400)\\\\AC=20~in.`

Now, lets find the elevation of the sun.


`tan\theta = (AB)/(BC) \\\\ tan\theta = (10)/(10\sqrt3) \\\\ \theta = tan^(-1) \left((10)/(10\sqrt3)\right) \\\\ \boxed{\theta = 30 \°}`

∴ The elevation of the sun is 30°