The angle of elevation of the sun, when the length of the shadow of a tree is equal to the height of the tree, is:
A. 30°
B. 60°
C. 45°
D. None of these
Answer: Option C
Solution(By Examveda Team)
Consider the diagram shown above where QR represents the tree and PQ represents its shadow
$$\eqalign{ & {\text{We}}\,{\text{have}},\,QR = PQ \cr & {\text{Let}}\,\angle QPR = \theta \cr} $$
$$\tan \theta = \frac{{QR}}{{PQ}} = 1$$ (since QR = PQ)
$$ \Rightarrow \theta = {45^ \circ }$$
i.e., required angle of elevation = 45°
Related Questions on Height and Distance
A. 173 m
B. 200 m
C. 273 m
D. 300 m
E. None of these
A. 4 √3 units
B. 8 units
C. 12 units
D. Data inadequate
E. None of these
A. 21.6 m
B. 23.2 m
C. 24.72 m
D. None of these
Join The Discussion