How tall (in feet) is the tree? Use similar triangles.

Question

While admiring a rather tall tree, Fred notes that the shadow of his 6 ft frame has a length of 3 paces. On the level ground, he walks off the complete shadow of the tree in 38 paces. How tall (in feet) is the tree? Use similar triangles.

Answer 1

38 : 3 :: h : 6

3h = (6)(38)

h = (2)(38)

h = 76