Answer:
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 answer: D
