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larisa86 [58]
2 years ago
5

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

Mathematics
2 answers:
gogolik [260]2 years ago
7 0

ANSWER

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)  =  \frac{adjacent}{hypotenuse}

\cos(29 \degree)  =  \frac{x}{27}

We multiply both sides by 27 to get;

x = 27\cos(29 \degree)

x = 23.6ft

to the nearest tenth.

k0ka [10]2 years ago
3 0

Answer:

x = 23.6

Step-by-step explanation:

<u>Points to remember</u>

<u>Trigonometric ratios </u>

Sin θ  = Opposite side/Hypotenuse

Cos θ = Adjacent side/Hypotenuse

Tan θ = Opposite side/Adjacent side

<u>To find the value of x</u>

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

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