A pole 10m high casts a shadow of 10√3 m long on the ground. What is the angle of elevation of the sun?
Correct: A
Let θ be the angle of elevation of the sun. The height of the pole is the Opposite side (10m), and the length of the shadow is the Adjacent side (10√3 m). We use the tangent function: tan θ = Opposite / Adjacent. tan θ = 10 / (10√3) = 1/√3. We know that tan 30° = 1/√3. Therefore, θ = 30°.