Discussion
The top of two poles of height 20 m and 14 m are connected by a wire. If the wire makes an angle of 30° with the horizontal, then the length of the wire is:
Answer: D
Imagine a right-angled triangle formed by the wire (hypotenuse), the horizontal distance, and the difference in the heights of the poles (opposite side).
The difference in height = 20 m - 14 m = 6 m.
The angle of the wire with the horizontal is 30°.
\(\sin 30° = \frac{\text{Opposite}}{\text{Hypotenuse}} = \frac{\text{Height Difference}}{\text{Wire Length}}\)
\(\frac{1}{2} = \frac{6}{\text{Wire Length}}\)
Wire Length = 6 × 2 = 12 meters.
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