Question

A tree of 6m height casts a 4m long shadow,at the same time, a flag post casts a shadow 50m long. The height of post (in m) is

Answer 1

In the first triangle,

cos θ = $\frac{4}{6}$

In the second triangle formed, cos' value would remain same.

cos θ = $\frac{Height}{50}$

Therefore,

$\frac{4}{6} = \frac{x}{50} \\ \\ 6x = 200m \\ \\ x = Height = \frac{200}{6} = 33.33 m$

So, the height of the pole is 33.33 m.