Question

1. modeling real life find the distance between the two platforms of the fire escape. example 3 16.7 ft x ft 8.9 ft

Explanation:

Step1: Apply the Pythagorean theorem

The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse of a right - triangle and \(a\) and \(b\) are the other two sides. In this case, \(c = 16.7\) (hypotenuse) and \(a=8.9\), and we want to find \(b=x\). So the formula becomes \(x^{2}+8.9^{2}=16.7^{2}\).

Step2: Rearrange the formula to solve for \(x\)

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Answer:

The distance between the two platforms is approximately \(14.1\) ft.