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Posted by Ashley on Thursday, May 23, 2013 at 10:28pm.

A maple tree casts a shadow of 45 ft long. At the same time, a 40-ft-long oak tree casts a shadow which is 60 ft long. Explain how you can use similar triangles to find the height of the tree. Then find the height of the tree.

Draw similar right triangles, one with sides of 40 and 60, and the other with sides of h and 45 Since the triangles are similar, the ratio of corresponding sides is constant. h/40 = 45/60 h = 30

30/50

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