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

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) (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) =
:
.5317 =
Tree = 24 * .5317
Tree = 12.76 ~ 13 ft rounded

RELATED QUESTIONS
A tree casts a shadow of 26 meters when the angle of elevation of the sun is 24�. Find... (answered by jojo14344)

Find the angle of elevation of the sun when a 24 foot tree casts a shadow of 36 feet. (answered by stanbon)

a tree is 66 meters high casts a 44 meter shadow. find the angle of elevation of the... (answered by stanbon,aggie_tutor)

A tree casts a shadow 180 feet long. Find the height of the tree if the angle of... (answered by mananth)

a tree casts a 26-meter shadow when the angle of elevation of the sun measures 42 degrees (answered by nyc_function)

a tree is 93ft tall casts a shadow of 26ft. Find the angle of elevation of the... (answered by mananth)

Determine the height of a tree if it casts a shadow 7 m long on level ground when the... (answered by rfer)

a giant redwood tree casts a shadow that is 532 feet long. find the height of the tree if (answered by scott8148)

a 73 foot tree casts a shadow 112 feet long. Find the angle of elevation of the... (answered by solver91311)