Question
From a rock ledge the angle of elevation to the topof a treeis 25 degrees. The angle of depression to the bottom of the tree is 10 degrees. Find the heightof the rock ledgeto the nearest tenth and find the height of the tree to the nearest tenth
Answers
Steve
as usual, draw a diagram and recall your basic trig definitions.
If the ledge is at height a, and at distance x from the tree (with height h), then we have
(h-a)/x = tan25°
a/x = tan10°
Now eliminate a to get
h-x tan25° = x tan10°
h = x(tan25°+tan10°)
Now you still have to know how far away the tree is. Naturally, the closer you are, the shorter the actual height, since it just subtends an angle of 35°.
If the ledge is at height a, and at distance x from the tree (with height h), then we have
(h-a)/x = tan25°
a/x = tan10°
Now eliminate a to get
h-x tan25° = x tan10°
h = x(tan25°+tan10°)
Now you still have to know how far away the tree is. Naturally, the closer you are, the shorter the actual height, since it just subtends an angle of 35°.
Anonymous
The distance is 100m
Leah marie bauli
I response my sister.. And my stud