Question

A tree in the school yard casts a 60-inch shadow at the same time a nearby student casts a 17-inch shadow. If the student is 68 inches tall, how many feet tall is the tree?

Answer 1

20 feet

Explanation:

Height of the student = 68 inches

Length of the student's shadow = 17 inches

Length of the tree's shadow = 60 inches

Let's set up the proportion:

(T / 60) = (68 / 17)

Cross-multiply:

17T = 68 * 60

Simplify:

17T = 4080

Divide both sides by 17:

T = 4080 / 17

Calculate:

T ≈ 240 inches

To convert to feet, divide by 12:

T ≈ 240 / 12

T ≈ 20 feet

Therefore, the tree is approximately 20 feet tall.

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