Analyze the diagram below and complete the instructions that follow.

Mathematics

1 answer:

docker41 [41]3 years ago

5 0

Answer:

x = 8 sqrt(2)

Step-by-step explanation:

Since this is a right triangle

sin 45 = opp side/ hypotenuse

sin 45 = 8/x

Multiply each side by x

x sin 45 = 8/x *x

x sin 45 = 8

Divide each side by sin 45

x sin 45 /sin 45 = 8 /sin 45

x = 8 / sin 45

We know sin 45 = 1/ sqrt (2)

x = 8 / 1 / sqrt(2)

x = 8 sqrt(2)

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