1.

The ratio of the length of a rod and its shadow is 1 : √3. The angle of elevation of the sum is A. 30° B. 45° C. 60° D. 90°

Answer»

The ratio of the length of rod and its shadow = 1: √3 

Let the angle of elevation of sun be θ 

tan θ = \(\frac{P}{B}\) (P = perpendicular, B = base) 

Here tan θ = 1: √3 = \(\frac{1}{\sqrt3}\)

tan θ = \(\frac{\sqrt3}{3}\) (by rationalizing the denominator) 

θ = 30° (∵ tan 30° = (\(\frac{\sqrt3}{3}\))



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