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The height of a tree is 3 times the length of its shadow. Find the angle of elevation of the sun. - Mathematics

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Question

The height of a tree is `sqrt(3)` times the length of its shadow. Find the angle of elevation of the sun.

Sum

Solution


Let the length of the shadow of the tree be x m

∴ Height of the tree = `sqrt(3) xx m` 

If θ is the angle of elevation of the sun, then 

` tan theta = (sqrt(3)x)/x`

= `sqrt(3)`

= tan 60°

∴ θ = 60°

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Heights and Distances - Solving 2-D Problems Involving Angles of Elevation and Depression Using Trigonometric Tables
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Chapter 22: Height and Distances - Exercise 22 (A) [Page 336]

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Selina Mathematics [English] Class 10 ICSE
Chapter 22 Height and Distances
Exercise 22 (A) | Q 1 | Page 336

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