SOLUTION: A tree casts a shadow of 24 meters when the angle of elevation of the sun is 28 degees. Find the height of the tree to the nearest meter. The answer is 13 but I'm not sure how

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Question 197772: A tree casts a shadow of 24 meters when the angle of elevation of the sun is 28 degees. Find the height of the tree to the nearest meter.
The answer is 13 but I'm not sure how to solve it..

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A tree casts a shadow of 24 meters when the angle of elevation of the sun is 28 degrees.
Find the height of the tree to the nearest meter.
;
The tree and the shadow form the sides of a right triangle, therefore:
use the tangent of the given angle (side opposite/side adjacent)
Tan(28) = %28tree%29%2F24
:
.5317 = %28tree%29%2F24
Tree = 24 * .5317
Tree = 12.76 ~ 13 ft rounded