#### Question

Two poles of heights 18 metre and 7 metre are erected on a ground. The length of the wire fastened at their tops in 22 metre. Find the angle made by the wire with the horizontal.

#### Solution

Let AB and CD be the two poles standing on the ground.

Suppose the angle made by the wire with the horizontal be *θ*.

Here, AB = 18 m and CD = 7 m.

Length of the wire fastened at their tops = AC = 22 m

AE = AB − EB = 18 − 7 = 11 m (EB = CD)

In right ∆AEC,

\[\sin\theta = \frac{AE}{AC}\]

\[ \Rightarrow \sin\theta = \frac{11}{22} = \frac{1}{2}\]

\[ \Rightarrow \sin\theta = \frac{1}{2} = \sin30^\circ\]

\[ \Rightarrow \theta = 30^\circ\]

Thus, the angle made by the wire with the horizontal is 30º.

Is there an error in this question or solution?

Solution Two Poles of Heights 18 Metre and 7 Metre Are Erected on a Ground. the Length of the Wire Fastened at Their Tops in 22 Metre. Find the Angle Made by the Wire with the Horizontal. Concept: Heights and Distances.