Solve for x. Round to the nearest hundredth

Given:

The given triangle is a right angled triangle.

One of the angle is 64° and the length of one of the leg is x.

The length of the hypotenuse is 28.

We need to determine the value of x.

Value of x:

The value of x can be determined using the trigonometric ratio.

Thus, we have;

where , adj = x and hyp = 28

Substituting the values, we get;

Multiplying both sides by 28, we have;

Rounding off to the nearest hundredth, we get;

Therefore, the value of x is 12.26

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step-by-step explanation: