Solve for x (Show work)

Mathematics

1 answer:

34kurt3 years ago

4 0

Answer:

$x \approx 36.57$

Step-by-step explanation:

Let the length of the perpendicular be y units.

So,. By Pythagoras Theorem:

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

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