Because of prevailing winds, a tree grew so that it was leaning 4 degrees from vertical. At a point 40 meters from the tree the angle of elevation to the top of the tree is 30 degree. find the height h of the tree.

Applying the law of sines, the height (h) of the tree in the given diagram is: 24.1 meters.
The law of sines is usually expressed as, a/sin A = b/sin B = c/sin C.
Let:
Plug in the values
h/sin 30 = 40/sin 56
h = (40 × sin 30)/sin 56
h = 24.1 meters.
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