Question

A tower subtends an angle of 30^o at a point distant d from the foot of the tower and on the same level as the foot of the tower. At a second point h vertically above the first, the depression of the foot of the tower is 60^o. The height of the tower is

• A. $\frac { h } { 3 }$
• B. $\frac { h } { 3 d }$
• C. $3 h$
• D. $\frac { 3 h } { d }$

Answer 1

Answer: (A)

$\frac { h } { 3 }$

Answer 2

Let CD is tower

From $\triangle B C D , \frac { H } { d } = \tan 30 ^ { \circ }$ ........(i)

and from $\triangle A B D , \frac { h } { d } = \tan 60 ^ { \circ }$ ........(ii)

Divide equation (ii) from equation (i), we have $H = \frac { h } { 3 }$