Shadow of a man is $$\frac{1}{{\sqrt 3 }}$$ times the height of the man. What will be the sun’s angle of elevation?
A. 135°
B. 45°
C. 30°
D. 60°
Answer: Option D
Solution(By Examveda Team)
Shadow length = $$\frac{1}{{\sqrt 3 }}$$ Height of man
$$\eqalign{ & \frac{{{\text{Height}}\,{\text{of}}\,{\text{man}}}}{{{\text{Shadow}}\,{\text{length}}}} = \sqrt 3 \cr & \tan \theta = \frac{{{\text{Height}}\,{\text{of}}\,{\text{man}}}}{{{\text{Shadow}}\,{\text{length}}}} = \sqrt 3 \cr & {\text{But}}\,\tan {60^ \circ } = \sqrt 3 \cr} $$
∴ $$\theta $$ = 60° = Angle of elevation of sum
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