SOLUTION: . From the top of a tower, the line of sight to a cottage, has an angle of depression of 38°. If the horizontal distance from the tower to the cottage is 60 m, find the height of

Algebra ->  Trigonometry-basics -> SOLUTION: . From the top of a tower, the line of sight to a cottage, has an angle of depression of 38°. If the horizontal distance from the tower to the cottage is 60 m, find the height of       Log On


   

Question 1156387: . From the top of a tower, the line of sight to a cottage, has an angle of depression of 38°. If the horizontal distance from the tower to the cottage is 60 m, find the height of the tower rounded to the nearest tenth?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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From the top of a tower, the line of sight to a cottage, has an angle of depression of 38°.
If the horizontal distance from the tower to the cottage is 60 m, find the height of the tower rounded to the nearest tenth?
:
This forms a right triangle, the two legs are the height of the tower and 60m
The angle of depression of 38 degrees gives an interior angle of 90-38 = 52 degrees
:
Use the tangent of of 52 degrees
tan(52) = 60%2Fh
h = 60%2Ftan%2852%29
h = 46.9 m