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Please help me figure this out and explain!

Please help me figure this out and explain!-example-1
User Danfuzz
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The height of the tree is 108 inches.

Solving the Similar Triangle Application Problem

Given:

Bill's height = 6 feet

Length of Bill's shadow = 9 feet

Distance Bill walks along the tree's shadow = 24 feet

Length of the tree's shadow = x feet

Identify similar triangles:

Triangle formed by the tree and its shadow is similar to triangle formed by Bill and his shadow.

Set up proportions:

Since the triangles are similar, we can set up proportions:

h/x = 6/9

Solve for x:

Cross-multiply and solve for x:

h = 6 * x/9

x = 9h/6

Substitute known values and solve for h:

Replace h with Bill's height:

x = 9 * 6 / 6

x = 9

Therefore, the height of the tree is 9 feet.

Rounding to inches:

9 feet is equal to 9 * 12 inches = 108 inches.

User Edu Costa
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