Two poles of heights 18 metre and 7 metre are erected on a ground…..
Chapter 6 – Trigonometry – Text Book Solution
Practice Set 6.3| Q 4| Page 137
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.
Solution
Let’s denote the distance between the two poles as “x”. We can draw a right-angled triangle, where the two poles are at the base of the triangle, the wire is the hypotenuse of the triangle, and the height difference between the poles is the opposite side of the triangle.
From the triangle, we can see that:
sin(θ) = (18 – 7)/22
Simplifying the equation, we get:
sin(θ) = 11/22
Taking the inverse sine of both sides, we get:
θ = sin^(-1)(11/22)
Using a calculator, we get:
θ ≈ 30.9 degrees
Therefore, the angle made by the wire with the horizontal is approximately 30.9 degrees.
Chapter 6 – Trigonometry – Text Book Solution
Practice set 6.2 |Q 4| P 137
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