Question

Solve for x (Show work)

Answer 1

`x \approx 36.57`

Explanation:

Let the length of the perpendicular be y units.

So,. By Pythagoras Theorem:

`{y}^(2) = {32}^(2) - {28}^(2) \\ = (32 + 28)(32 - 28) \\ = 60(4) \\ {y}^(2) = 240 \\ \\ by \: geometric \: mean \: property \\ {y}^(2) = 28(x - 28) \\ 240 = 28x - 784 \\ 240 + 784 = 28x \\ 1024 = 28x \\ x = (1024)/(28) \\ x = 36.5714286 \\ x \approx 36.57`