Math CentralQuandaries & Queries


Question from danice, a student:

At a certain time of day, the angle of elevation of the sun is 30°. A tree has a shadow that is 25 feet long. Find the height of the tree to the nearest foot.


tree and shadow

T is the top of the tree, B is the bottom of the tree and E is the end of the shadow. Triangle TBE is a right triangle so what trig function relates the measure of the angle BET (30o), the length of BE (25 feet) and the length of TB? Solve for the length of TB, the height of the tree.


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