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If a tower 6m high casts a shadow of 2√3m long on . . .

Question : If a tower 6m high casts a shadow of 2√3m long on the ground, then the sun's elevation is :
a) 60°
b) 45°
c) 30°
d) 90°

Doubt by Yashika

Solution : 


In Rt. Δ ABC
tanθ=P/B
tanθ=6/2√3
tanθ=3/√3
tanθ=(3×√3)/(√3×√3)
tanθ=(3×√3)/3
tanθ=√3
tanθ=tan60°
θ=60°

The elevation of sun's is 60°.
Hence 'a) 60°' would be the correct option.