Since there a right triangle formed, we can use the Pythagorean theorem:
For reference, we will call the base of this triangle a, and the height of the triangle b:
[tex]\begin{gathered} a=8ft \\ b=15ft \end{gathered}[/tex]
The Pythagorean theorem is:
[tex]d=\sqrt[]{a^2+b^2}[/tex]
In this case:
[tex]d=\sqrt[]{(8ft)^2+(15ft)^2}[/tex]
Solving the operations to find b:
[tex]\begin{gathered} d=\sqrt[]{64ft^2+225ft^2} \\ d=\sqrt[]{289ft^2} \\ d=17ft \end{gathered}[/tex]
We have found the value of d
Answer:
[tex]d=17ft[/tex]
