Question

An elevator is 3 feet wide, 4 feet deep, and 7 feet tall. What is the length of the longest pole you could fit in the elevator? Explain.

Answer 1

The length of the longest pole that can fit in the elevator is approximately 8.60 feet.

Explanation:

1. Using the Pythagorean theorem, calculate the diagonal: diagonal^2 = width^2 + depth^2 + height^2.

2. Substitute the given values:

diagonal^2 = 3^2 + 4^2 + 7^2.

3. Simplify: diagonal^2 = 9 + 16 + 49.

4. Take the square root of both sides:

diagonal = V74.

5. Therefore, the length of the longest pole that can fit in the elevator is approximately 8.60 feet.

hopefully this helps!