A vertical tree casts a shadow of length 10 m when the Sun's elevation is 45°. Later, the shadow becomes 10√3 m. Find the new angle of elevation of the Sun in degrees.
Physics · Mathematical tools and vector · Trigonometric Function
NEET JEE Mains

Question

A vertical tree casts a shadow of length 10 m when the Sun's elevation is 45°. Later, the shadow becomes 10√3 m. Find the new angle of elevation of the Sun in degrees.

G1 Physics · Accepted Answer

First the tree height is h=10tan45°=10 m. Later tanθ=height/shadow=10/(10√3)=1/√3. Therefore θ=30°.