Question

In the right triangle shown in the diagram below, what is the value of x to the nearest whole number?

(a)12
(b)14
(c)21
(d)28

Answer 1

(c) 21

Explanation:

I think the drawn was misprinted. In the picture attached, the correct drawn is shown.

From definition:

cos(β) = adjacent/hypotenuse

For angle = 30°, the adjacent side is x. On the other hand, the hypotenuse of the triangle is 24 units long. Replacing this information into the equation:

cos(30°) = x/24

x = cos(30°)*24

x ≈ 21