The diagram is of a right triangle with
Hypotenuse = 233
One leg of the triangle = 105
Another Leg = we have to find
Pythagorean Theorem can be written as:
[tex]\text{Leg}^2+\text{AnotherLeg}^2=\text{Hypotenuse}^2[/tex]
Thus, we can write:
[tex]\begin{gathered} 105^2+\text{AnotherLeg}^2=233^2 \\ \text{AnotherLeg}^2=233^2-105^2 \\ \text{AnotherLeg}^2=43264 \\ \text{AnotherLeg}=\sqrt[]{43264} \\ \text{AnotherLeg}=208\text{ ft} \end{gathered}[/tex]
Thus,
The distance between the traffic lights on Walnut Street is:
208 feet