Question

Solve for x. Round to the nearest hundredth

Answer 1

Given that the length of one leg is 6 and the angle is 40°

The hypotenuse is x.

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=(adj)/(hyp)`

Substituting the values, we get;

`cos \ 45^(\circ)=(6)/(x)`

Simplifying, we have;

`x=(6)/(cos \ 45^(\circ))`

`x=(6)/(0.766)`

Dividing, we get;

`x\approx7.83`

Therefore, the value of x is 7.83(app.)

Hence, Option A is the correct answer.