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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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प्रश्न

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

योग

उत्तर


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
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 22: Height and Distances - Exercise 22 (A) [पृष्ठ ३३६]

APPEARS IN

सेलिना Mathematics [English] Class 10 ICSE
अध्याय 22 Height and Distances
Exercise 22 (A) | Q 1 | पृष्ठ ३३६

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