Question

GEOMETRY! Find the value of x.

Please help me, explain to me your answer :)

Answer 1

SOHCAHTOA

Explanation:

Since 50 is located at the opposite side then hypotenuse is ask to find use the SOH..

1. sin=O/H
2. sin28=50/H
3. H(sin28)=50
4. divide both sides by sin28
5. H=50/sin50
6. H=106cm

Answer 2

106.5

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.

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