Question

a rectangular billboard has a width of 24 feet and a height of 10 feet. if a cable is attached from one top corner to the opposite bottom corner, what is the length of the cable? 1 34 feet 2 28 feet 3 26 feet

Explanation:

Step1: Apply Pythagorean theorem

The cable forms the hypotenuse of a right triangle with the width and height of the billboard as the legs. The formula is $c = \sqrt{a^2 + b^2}$, where $a=24$ feet, $b=10$ feet.

Step2: Calculate squared terms

$24^2 = 576$, $10^2 = 100$

Step3: Sum squared terms

$576 + 100 = 676$

Step4: Compute square root

$\sqrt{676} = 26$

Answer:

1. 26 feet