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The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower, is 30°. Find the height of the tower - Mathematics

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Question

The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower, is 30°. Find the height of the tower

Solution

Let AB be the tower and the angle of elevation from point C (on ground) is

30°.

In ΔABC,

`(AB)/(BC) = tan 30^@`

`(AB)/30 = 1/sqrt3`

`AB = 30/sqrt3 = 10sqrt3 m`

Therefore, the height of the tower is `10sqrt3 m`

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 10 (2019 (Latest))
Chapter 9: Some Applications of Trigonometry
Ex. 9.1 | Q: 4 | Page no. 204
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Solution The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower, is 30°. Find the height of the tower Concept: Heights and Distances.
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