Question

Which of the following expressions is equal to the value of x?

119(cos52)
52(cos119)
(cos52)/119
119/cos52

Answer 1

The answer is 119(cos52)

Answer 2

The value of x is
`119\cos(52)`. Option 1 is correct.

Explanation:

From the given figure it is noticed that the triangle is a right angle triangle.The length of the base is x and the length of hypotenuse is 119. The measure of acute angle is 52 degree.

`\cos\theta =(base)/(hypotenuse)`

`\cos(52) =(x)/(119)`

Multiply both sides by 119

`\cos(52)* 119=(x)/(119)* 119`

`119\cos(52) =x`

Therefore the value of x is
`119\cos(52)`. Option 1 is correct.