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

(c) 21

Step-by-step 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

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x