Answer:
your answer will be Option B. 28.3 ft
Step-by-step explanation:
[tex] \sqrt{15 ^{2} } + 24 ^{2} = 28.3[/tex] or
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The 28.3 ft is closest to the length of the walkway. the answer will be Option B. 28.3 ft
If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
It is given that Mr. Ammons is constructing a walkway through his rectangular Garden. The walkway runs diagonally as shown in the diagram.
We need to find the length of the walkway.
Using Pythagoras Theorem;
[tex]15^2 + 24^2 = x^{2} \\\\x^{2} = 225 + 576\\\\x^{2} = 801\\\\x = \sqrt{801} \\\\x = 28.30[/tex]
Therefore, 28.3 ft is closest to the length of the walkway. answer will be Option B. 28.3 ft
Learn more about Pythagoras theorem here:
https://brainly.com/question/12105522
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