What is the angle of elevation of the sun when the length of the shadow of a tree is √ 3times the height of the tree?

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

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

∴  Height of the tree = `sqrt 3 ` x m 

if Ø is the angle of elevation of the sun , then 

` tan   Ø  = (sqrt3  xx)/xx=sqrt 3= tan 60 °`

`∴ Ø = 60 °`

Concept: Heights and Distances - Solving 2-D Problems Involving Angles of Elevation and Depression Using Trigonometric Tables

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