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.​

Answer 1

Answer:

seg AB and CD represents two poles. AB = 18 m, CD = 7 m

seg AC represent the length of the wire. AC = 22 m

□EBDC is a rectangle

∴ EB = CD = 7 m [Opposite sides of rectangle]

AB = AE + EB [∵ A - E - B]

∴ 18 = AE + 7

∴ 18 – 7 = AE

∴ AE = 11 m

In right angled ∆ AEC,

sin C = opposite side of ∠C/Hypotenuse

∴ sin C = AE/AC

∴ sin C = 11/22

∴ sin C = ½ .........(i)

But,

sin 30º = ½ ......(ii)

From equation (i) and (ii), we can conclude that

sin C = sin 30º

∴ ∠C = 30º

∴ The angle made by the wire with horizontal is 30º

Answer 2

Step-by-step explanation:

answer in above attachment