Question

Solve for x. Round to the nearest hundredth

Answer 1

Given that the length of the hypotenuse is x and the angle is 53°

The length of one of the leg of the triangle is 45.

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;

`\cos \theta=(a d j)/(h y p)`

Substituting the values, we get;

`\cos \ 53^(\circ)=(45)/(x)`

Simplifying the terms, we have;

`x=(45)/(\cos \ 53^(\circ))`

`x=(45)/(0.6018)`

Dividing, we have;

`x\approx 74.77`

Therefore, the value of x is 74.77(app)

Hence, Option B is the correct answer.