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Question

Question: The angle of elevation of a tower at a point distant dmetres from its base is \(30 ^ { \circ }\). If...

The angle of elevation of a tower at a point distant dmetres from its base is 3030 ^ { \circ }. If the tower is 20 meters high, then the value of d is

A

103 m10 \sqrt { 3 } \mathrm {~m}

B

203m\frac { 20 } { \sqrt { 3 } } m

C

203 m20 \sqrt { 3 } \mathrm {~m}

D
Answer

203 m20 \sqrt { 3 } \mathrm {~m}

Explanation

Solution

d20=cot30\frac { d } { 20 } = \cot 30 ^ { \circ }