If the length of the shadow of a tower is $\sqrt{3}$ times that of its height, then altitude of the Sun is :

Question

Accepted Answer

## Model Answer **Option B: 30°** Let height of tower = h, shadow length = √3h. Then tan θ = h/(√3h) = 1/√3, so θ = 30°. ## Explanation The altitude of the Sun equals the angle of elevation from the tip of the shadow to the top of the tower. Using tan θ = height/shadow = h/(√3h) = 1/√3 gives θ = 30°. Remember: tan 30° = 1/√3.

Mathematics — CBSE Class 10 board question