Question

A 15m long pole forms 53 m long shadow at 8 AM in the morning. Then find the angle made by sun rays with earth.

Answer 1

As shown in figure 

Height of pole (AB) = 15m 

Length of shadow (BC) = 5√3 

∠ACB = θ 

∴ In ΔABC tan θ = \(\frac{AB}{AC}=\frac{15}{5\sqrt{3}}\) = √3 

∴ tan θ = √3 ⇒ θ = 60° 

∴ The sun rays made 60° angle on the earth at that time.