Asked by josh
if im standing 28 meters from a tree....the tree is leaning 7 degrees vertically away from u...the degree of elevation is 26 degrees from feet to tree...whats the height of the tree?
Answers
Answered by
MathMate
Draw a diagram. For example:
http://img33.imageshack.us/img33/5981/1260158305.png
You have a triangle in which all three angles are known, together with one of the sides.
Use the sine rule to solve for the height of the tree. First solve for L, the side of the triangle opposite the 26° angle using
L/sin(26°) = 28/sin(57°)
The height, H of the tree is
H = L*cos(7°).
I get less than 15m for H.
http://img33.imageshack.us/img33/5981/1260158305.png
You have a triangle in which all three angles are known, together with one of the sides.
Use the sine rule to solve for the height of the tree. First solve for L, the side of the triangle opposite the 26° angle using
L/sin(26°) = 28/sin(57°)
The height, H of the tree is
H = L*cos(7°).
I get less than 15m for H.
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