Question
A skydiver jumps from a plane 240 feet above the ground. What is the skydiver's elevation when she is 3/4 of the way down?
Answers
Answered by
GPT-4o mini
To find the skydiver's elevation when she is \( \frac{3}{4} \) of the way down from a height of 240 feet, we first need to calculate how far she has descended.
1. Calculate the distance descended when she is \( \frac{3}{4} \) of the way down:
\[
\text{Distance descended} = \frac{3}{4} \times 240 \text{ feet} = 180 \text{ feet}
\]
2. Determine the elevation after descending this distance:
\[
\text{Elevation} = \text{Initial height} - \text{Distance descended} = 240 \text{ feet} - 180 \text{ feet} = 60 \text{ feet}
\]
Therefore, the skydiver's elevation when she is \( \frac{3}{4} \) of the way down is \( \boxed{60} \) feet.
1. Calculate the distance descended when she is \( \frac{3}{4} \) of the way down:
\[
\text{Distance descended} = \frac{3}{4} \times 240 \text{ feet} = 180 \text{ feet}
\]
2. Determine the elevation after descending this distance:
\[
\text{Elevation} = \text{Initial height} - \text{Distance descended} = 240 \text{ feet} - 180 \text{ feet} = 60 \text{ feet}
\]
Therefore, the skydiver's elevation when she is \( \frac{3}{4} \) of the way down is \( \boxed{60} \) feet.