SOLUTION: A tree on top of a hill casts a shadow of 20 m long down the hill. Of the angle of elevation of the sun is 75 degrees and the hill is inclined 45 degrees, find the height of the t

Question 827668: A tree on top of a hill casts a shadow of 20 m long down the hill. Of the angle of elevation of the sun is 75 degrees and the hill is inclined 45 degrees, find the height of the tree
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
RS = 20 m = shadow of tree
Consider right triangle RSP.
(rounded to nearest 0.1m)
(rounded to nearest 0.1m)
Consider right triangle TSP.
(rounded to nearest 0.1m)
The height of the tree is
(rounded to nearest 0.1m).
(Maybe it should be rounded to 39 meters, since the shadow's length and angles do not seem to have been measured with such fine precision).

RELATED QUESTIONS
A vertical light pole on a hillside casts a shadow of 55 m long down the hill. If the... (answered by greenestamps)

A tree on a hillside casts a shadow 45 ft up the hill. If the angle of inclination of the (answered by Theo)

A tree on a hillside casts a shadow c ft down the hill. If the angle of inclination of... (answered by lwsshak3)

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

A tree growing on a hillside casts a 200-foot shadow. If the hillside is 20 degrees below (answered by greenestamps)

If a tree casts a shadow of 40m while the angle of elevation of the sun is 50 degrees,... (answered by scianci)

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

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