Alice and Ted want to cut down a tree in their backyard. If the shadow on a 4-foot stick makes a length of 2.5 feet, how tall is the tree to the nearest foot whose shadow is 38 feet?
A)24 ft
B)95 ft
C)61 ft
D)152 ft

Question

Quizplus · Accepted Answer

Using proportions, we can set up the equation:

height of the tree / length of the tree's shadow = height of the stick / length of the stick's shadow

Let x be the height of the tree we're trying to find:

x / 38 = 4 / 2.5

Simplifying the right side of the equation:

x / 38 = 1.6

Multiplying both sides by 38:

x = 38 * 1.6

x = 60.8

Rounding to the nearest foot:

x ≈ 61

Therefore, the height of the tree is approximately 61 feet. Answer choice C is the closest to this value.

Alice and Ted Want to Cut Down a Tree in Their