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# Solve for x. Round your answer to 2 decimal places.

Trigonometry is a branch of mathematics that deals with the ratios of the sides of a right-angled triangle.

## Answer: The value of x rounded off to two decimal places is equal to 37.74

Let's look into the steps below.

**Explanation:**

We know that for a given acute angle in a right triangle sine of the angle is represented as,

sin x = Opposite side / Hypotenuse

Thus, from the given diagram,

sin 32º = 20 / x -------------- (1)

We can calculate the value of sin 32º using Cuemath's Online Sine Calculator

Thus, the value of sin 32º = 0.53

Substituting this in equation (1) we get,

0.53 = 20 / x

⇒ x = 20 / 0.53

⇒ 37.73584...

Rounding 37.73584... to two decimal places we get 37.74

### Thus, the value of x is 37.74

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