Question

The height of tower is 15 m .calculate the length of its shadow when sun,s altitude is 60 °

Answer 1

Given :

ABC a right angle triangle, having AB = 15 m (height of tower) and altitude of sun is 60°.

Means,

• h = 15 m
• Ø = 60°

Find : Length of the shadow.

Assume : Let BC = "x" m

Solution :

In $\triangle$ABC

→ AB/BC = tan Ø

→ h/x = tan 60°

→ 15/x = $\sqrt{3}$

→ x/15 = $\dfrac{1}{\sqrt{3}}$

→ x = $\dfrac{15}{\sqrt{3}}$

After rationalization, we get

→ x = $\dfrac{15\sqrt{3}}{3}$

→ x = $5\sqrt{3}$

∴ $\bold{Length \: is \: 5 \sqrt{3} \: m.}$