SSC
Sample Paper
SSC CHSL (10+2) Sample Test Paper-24
question_answer
If a pole of height \[51\sqrt{3}\] meter cast a shadow of length 153 meter long on the ground, then on that time find the angle of elevation of the Sun.
A) \[45{}^\circ \]
B) \[30{}^\circ \]
C) \[60{}^\circ \]
D) \[90{}^\circ \]
Correct Answer:
B
Solution :
Let AB is the height of pole and BC is the length of shadow of the pole. Then, In \[\Delta ABC,\] \[\tan \theta =\frac{AB}{BC}=\frac{51\sqrt{3}}{153}\] \[\tan \theta =\frac{\sqrt{3}}{3}=\frac{1}{\sqrt{3}}=\tan 30{}^\circ \,\,\therefore \,\,\,\theta =\underline{\mathbf{30{}^\circ }}\]