Question

Two poles of height 18 metres and 7 metres are erected on the ground. A wire of length $22$ metres tied to the top of the poles. Find the angle made by the wire with the horizontal.(in degree)

• A. $30$
• B. $10$
• C. $20$
• D. $15$

Answer 1

The correct option is A $30$

Angle of elevation from smaller pole to bigger = $x$
Height of smaller building $=7$ m
Height of bigger pole $=18$ m
Length of the rope $=22$ m
Difference between the two buildings $=11$ m

Now, $\sin x=\frac{oppositeside}{hypotaneous}$
$\sin x=\frac{11}{22}=\frac{1}{2}$
$\sin x=\sin 30$
$x={30}^{\circ }$