Nguyen Ortega
01/26/2023 · High School
4) Jane is about to ride a straight water slide. The length The splash pool at the end of the slide is 72 feet away from up to the launching platform. How high is the launching plat (1) feet
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Tutor-Verified Answer
Step-by-step Solution
To determine the height of the launching platform for the water slide, we can use the Pythagorean theorem. The water slide, the height of the launching platform, and the distance from the end of the slide to the base of the launching platform form a right triangle.
Let:
- \( h \) = height of the launching platform (in feet)
- \( d \) = horizontal distance from the base of the launching platform to the splash pool (72 feet)
- \( l \) = length of the slide (which we need to know to find \( h \))
According to the Pythagorean theorem:
\[
l^2 = h^2 + d^2
\]
If you provide the length of the slide \( l \), we can rearrange the equation to solve for \( h \):
\[
h^2 = l^2 - d^2
\]
\[
h = \sqrt{l^2 - d^2}
\]
Please provide the length of the slide so we can calculate the height of the launching platform.
Quick Answer
To find the height of the launching platform, use the Pythagorean theorem with the length of the slide and the distance to the splash pool. Subtract the square of the distance from the square of the slide length, then take the square root of the result.
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