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;

$\cos \theta=\frac{a d j}{h y p}$

Substituting the values, we get;

$\cos \ 53^{\circ}=\frac{45}{x}$

Simplifying the terms, we have;

$x=\frac{45}{\cos \ 53^{\circ}}$

$x=\frac{45}{0.6018}$

Dividing, we have;

$x\approx 74.77$

Therefore, the value of x is 74.77(app)

Hence, Option B is the correct answer.