Question

Analyze the diagram below and complete the instructions that follow.

Answer 1

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)