The tops of two poles of heights 40 m and 25 m are connected by a wire. If the wire makes an angle 3 0 o with the horizontal, then the length of the wire is

Question

The tops of two poles of heights 40 m and 25 m are connected by a wire. If the wire makes an angle 3 0 o with the horizontal, then the length of the wire is, 30 m, 20 m, 15 m, 25 m

MARKS App · Accepted Answer

Let A B = 40 and C D = 25 be the two poles. A C = l is the length of the wire. C E , the horizontal through C , ∠ A C E = 30 o A E l = sin ⁡ 30 o = 1 2 ∴ l = 2 A E = 30 m

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