Question

What is the value of x? Enter your answer as a decimal to the nearest tenth in the box.

Answer 1

x = 23.6

Explanation:

Points to remember

Trigonometric ratios

Sin θ = Opposite side/Hypotenuse

Cos θ = Adjacent side/Hypotenuse

Tan θ = Opposite side/Adjacent side

To find the value of x

From the figure we can see a right angled triangle, ABC

Cos 29 = Adjacent side/Hypotenuse

= AB/AC

= x/27

x = 27 * Cos 29

= 27 * 0.87

= 23.6

Therefore x = 23.6

Answer 2

23.6 feet

EXPLANATION

The given triangle is a right triangle.

The hypotenuse is 27 ft.

The given angle I s 29°

The unknown side x, is adjacent to the given angle.

We use the cosine ratio to get,

`\cos(29 \degree) = (adjacent)/(hypotenuse)`

`\cos(29 \degree) = (x)/(27)`

We multiply both sides by 27 to get;

`x = 27\cos(29 \degree)`

`x = 23.6ft`

to the nearest tenth.