GEOMETRY! Find the value of x.

Please help me, explain to me your answer :)

  106.5

Step-by-step explanation:

Trigonometric (trig) functions relate side lengths of a right triangle to the angle measures of the triangle. The mnemonic SOH CAH TOA is intended to help you remember the relationships. It is short for ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

  Tan = Opposite/Adjacent

In the given triangle, the side labeled x is the hypotenuse. The side labeled 50 is adjacent to the angle labeled 62°, so we could write the equation ...

  cos(62°) = 50/x

The side labeled 50 is opposite the angle labeled 28°, so we could also write the equation ...

  sin(28°) = 50/x

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Using either one of these equations will give you the same value for x.* Let's use the second:

  x·sin(28°) = 50 . . . . . . multiply the above equation by x

  x = 50/sin(28°) . . . . . . divide by the coefficient of x

Using a calculator, we can evaluate this expression to be ...

  x ≈ 50/0.46947156

  x ≈ 106.50272

The value of x is about 106.5.

* The reason they both give you the same answer is cos(62°) = sin(28°).

2,600 divided by 80 = 32.5

step-by-step explanation:

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