Mrs. Kim is teaching a 5th grade class. She is standing 48 feet in front of Lester. Carey is sitting to Lester's right. If Carey

Question

3 years ago

11

and Mrs. Kim are 50 feet apart, how far apart are Lester and Carey?

1 answer:

victus00 [196] · Answer 1 · 2022-03-03T01:31:06+03:00

Lester and Carey are 14 feet apart

Step-by-step explanation:

Mrs. Kim is teaching a 5th grade class

We need to find how far apart Lester and Carey

Look to the attached figure

The positions of Mrs. Kim, Lester, and Carey formed a right triangle

∵ The distance between Mrs. Kim and Carey is 50 feet

∴ The length of the hypotenuse of the Δ = 50 feet

∵ The distance between Mrs. Kim and Lester is 48 feet

∴ The length of one leg of the Δ = 48 feet

The formula of length of the sides of the right Δ is:

$(hypotenuse)^{2}=(leg_{1})^{2}+(leg_{2})^{2}$

Substitute the length of the hypotenuse and the length of the given leg in the formula above

∵ (50)² = (48)² + (leg)²

∴ 2500 = 2304 + (leg)²

- Subtract 2304 from both sides

∴ 196 = (leg)²

- Take square for both sides

∴ 14 = leg

∵ This leg represents the distance between Lester and Carey

∴ The distance between Lester and Carey = 14 feet

Lester and Carey are 14 feet apart

Learn more:

You can learn more about the right triangle in brainly.com/question/1238144

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