A tree casts a shadow of 26 meters when the angle of elevation of the sun is 24Â°. find the height of the tree to the nearest meter.

Question

Mathematics

Lexie Duarte

8 October, 02:51

A tree casts a shadow of 26 meters when the angle of elevation of the sun is 24Â°. find the height of the tree to the nearest meter.

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Answers (1)

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Cassius Hines · Answer 1

This is the concept of geometry, the height of the tree will be given by:

tan theta=[opposite]/[adjacent]

theta=24

opposite=h

adjacent=26m

thus;

tan 24=h/26

hence;

h=26tan24

h=10.29

=10 m