Question

what is the length of the missing leg? if necessary, round to the nearest tenth. b = \square feet

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, $a^2 + b^2 = c^2$, where $c=87$ ft, $a=60$ ft. Rearrange to solve for $b$:
$b = \sqrt{c^2 - a^2}$

Step2: Calculate squared values

$c^2 = 87^2 = 7569$, $a^2 = 60^2 = 3600$

Step3: Subtract and take square root

$b = \sqrt{7569 - 3600} = \sqrt{3969}$

Step4: Compute final value

$\sqrt{3969} = 63$

Answer:

63 feet