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Usimov [2.4K]
3 years ago
11

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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