Question

$#6 find the value of X. Round answer to nearest tenth.

Answer 1

Explanation:

`cos \: x \degree = (17)/(24) \\ \\ \therefore \: cos \: x \degree =0.708333333 \\ \\ \therefore \: cos \: x \degree =0.7083 \\ \\ \therefore \: x \degree = {cos}^( - 1) 0.7083 \\ \\ \therefore \: x \degree = {cos}^( - 1) (cos \: 44.903233547 \degree) \\ \\ \huge \orange{ \boxed{\therefore \: x \degree \approx \: 45 \degree}} \\`

Answer 2

Explanation:

From the given right angle triangle,

The hypotenuse of the right angle triangle is 24

With m∠x as the reference angle,

The adjacent side of the right angle triangle is 17

The unknown side is the opposite side of the right angle triangle.

To determine x, we would apply

the cosine trigonometric ratio.

Cos θ = adjacent side/hypotenuse. Therefore,

Cos x = 17/24 = 0.7083

x = Cos^-1(0.7083)

x = 44.9° rounded to the nearest tenth