The tops of two poles of height 20m and 14 m are connect by a wire. If the wire makes an angle of 30° with horizontal, then the length of the wire is
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Given:
Height of the first pole = 20m,
Height of the second pole = 14m,
Angle of the wire with the horizontal = 30°.
Find the vertical difference
Vertical difference = 20 – 14 = 6m.
Use the sine function
sinθ = (Vertical difference) / (Length of the wire).
sin30° = 6 / L.
From trigonometric values, sin30° = 1/2:
1/2 = 6 / L.
Solve for L
L = 6 × 2 = 12m.
This question related to Chapter 9 Mathematics Class 10th NCERT. From the Chapter 9 Applications of Trigonometry. Give answer according to your understanding.
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