Solve for x. Round to the nearest hundredth.

D

Step-by-step explanation:

We name the corner of the triangle as in the attached image

As we can see, ABC is a right-angled triangle with Angle B = 90 degree

In a right-angled triangle, we have an equation as following:

+) tangent (an acute angle) = length of its opposite side/ length of its adjacent side

In the triangle, angle A is an acute angle. Its opposite side is BC with length equal to x, its adjacent side is AB with length equal to 14.

So that we have:

tangent (Angle A) = BC/ AB

=> BC = tangent (Angle A) x AB

=> x = tangent (67°) x 14 = 2.356 x 14 ≈ 32.98

So that x ≈ 32.98 => Correct D

step-by-step explanation:

a and d