Question

Please show work. thank you!​

Answer 1

`\large\boxed{h=(√(703))/(2)ft\approx13.26ft}`

Explanation:

Look at the picture.

Use the Pythagorean theorem:

`leg^2+leg^2=hypotenuse^2`

We have:

`leg=(9)/(2)ft\\\\hypotenuse=14ft\\\\leg=h`

Substitute:

`\left((9)/(2)\right)^2+h^2=14^2`

`(81)/(4)+h^2=196` multiply both sides by 4

`81+4h^2=784` subtract 81 from both sides

`4h^2=703` divide both sides by 4

`h^2=(703)/(4)\to h=\sqrt{(703)/(4)}\\\\h=(√(703))/(\sqrt4)\\\\h=(√(703))/(2)\\\\h\approx13.26`