Question

To the nearest hundred what is the value of X

Answer 1

41.51

Explanation:

We can find the value of x using the trigonometry identify.

Cos (41) = x/55

x = 55cos (41)

x = 41.51

Answer 2

`x = 41.51`

EXPLANATION

The given triangle has a right angle.

We were given an acute angle that measures 41°

The hypotenuse of the given right triangle is 55.

Since x is adjacent to the given angle and we also know the hypotenuse, we use the cosine ratio to find x.

`\cos(41 \degree) = (x)/(55)`

Therefore

`x = 55 \cos(41 \degree)`

`x = 41.509`

We round to the nearest hundredth to obtain,

`x = 41.51`