Question

The tops of two poles of height 16 m and 10 m are connected by a wire of length l metres. If the wire makes an angle of 30° with the horizontal, then l =
A. 26
B. 16
C. 12
D. 10

Answer 1

Answer:

c.12

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Answer 2

C. 12

Step-by-step explanation:

In triangle ABC, we get angle C = 30, angle B = 90 and side AB (opposite) = 16-10 = 6m. Given the hypotenuse is l meters, side AC. Let BC, the adjacent side, be x.

tan 30 = opposite / adjacent

 1/√3 = 6/x

x = 6√3  

L is the hypotenuse, so we can apply Pythagoras theorem.

 L² = 6² + (6√3)²

    = 36 + 36(3)

 L² = 36(4)

 Therefore L = √36(4) = 6*2 = 12

Option C is the answer.