10th Class
Mathematics
Introduction to Trigonometry
Question Bank
Trigonometry
question_answer
A man looks from the top of a vertical tower 30 metres high at a marked point upon the horizontal plane on which the tower stands. The angle of depression of this point is \[30{}^\circ \]. The distance of the marked point from the foot of the tower is
A)
\[\frac{30}{\sqrt{3}}m\]
B)
\[\frac{30\sqrt{3}}{2}m\]
C)
\[30\,\,m\]
D)
\[30\sqrt{3}\,\,m\]
Correct Answer:
D
Solution :
\[\frac{OP}{OM}=\cot \,{{30}^{o}}\] or \[OP=30\sqrt{3}\,m\]