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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 - CBSE Class 10 - Mathematics

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 to Current)
Chapter 9: Some Applications of Trigonometry
Ex.9.10 | 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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