Maharashtra State Board course SSC (English Medium) Class 10th Board Exam
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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. - Geometry

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Question

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 AB and CD be the two poles standing on the ground. 
Suppose the angle made by the wire with the horizontal be θ.


Here, AB = 18 m and CD = 7 m.
Length of the wire fastened at their tops = AC = 22 m
AE = AB − EB = 18 − 7 = 11 m            (EB = CD)
In right ∆AEC,
\[\sin\theta = \frac{AE}{AC}\]
\[ \Rightarrow \sin\theta = \frac{11}{22} = \frac{1}{2}\]

\[ \Rightarrow \sin\theta = \frac{1}{2} = \sin30^\circ\]

\[ \Rightarrow \theta = 30^\circ\]

Thus, the angle made by the wire with the horizontal is 30º.

  Is there an error in this question or solution?

APPEARS IN

 Balbharati Solution for Balbharati Class 10 Mathematics 2 Geometry (2018 to Current)
Chapter 6: Trigonometry
Practice set 6.2 | Q: 4 | Page no. 137
Solution 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. Concept: Heights and Distances.
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