Question

A ladder is placed against tower. If the ladder makes an angle of ${30}^{\circ }$ with the ground and reaches upto a height of 15 m of the tower; find length of the ladder.

• A. 30
• B. 40
• C. 50
• D. 60

Answer 1

The correct option is A 30

Angle made by ladder with ground = ${30}^{\circ }$
Ladder reaches the wall = $15$ m
Let length of ladder = $x$
Now, $\sin x=\frac{Lengthoftower}{Lengthofladder}$
$\sin 30=\frac{15}{x}$
$x=30$ m