Question

mrs. garrett is teaching a 5th grade class. she is standing 6 meters in front of marshall. ellen is sitting to marshalls right. if ellen and mrs. garrett are 8 meters apart, how far apart are marshall and ellen? if necessary, round to the nearest tenth.
meters
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Explanation:

Step1: Identify right triangle sides

Let $a=6$ (Garrett-Marshall), $c=8$ (Garrett-Ellen), find $b$ (Marshall-Ellen). Use Pythagorean theorem: $a^2 + b^2 = c^2$

Step2: Rearrange to solve for $b$

$b^2 = c^2 - a^2$
$b^2 = 8^2 - 6^2 = 64 - 36 = 28$

Step3: Calculate and round $b$

$b = \sqrt{28} \approx 5.3$

Answer:

5.3 meters