The length of the other leg to the nearest tenth of a foot is 5.7 feet.
What is Pythagorean theorem?
We can use the Pythagorean Theorem to find the length of the other leg
[tex]a^{2} + b^{2} = c^{2}[/tex]
"a" and "c" represent the two legs of the triangle and "b" represents the perpendicular.
So,
[tex]b^{2} = c^{2} - a^{2}[/tex]
= 7² - 4²
b = [tex]\sqrt{49 - 16}[/tex]
[tex]b = \sqrt{33}[/tex] ⇒ 5.7 feet
Therefore, the length of the other leg to the nearest tenth of a foot is 5.7 feet.
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