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3 years ago

Find the length of side AC. Round to the nearest tenth

Mathematics

1 answer:

Elina [12.6K]3 years ago

7 0

Answer:

AC ≈ 4.7 ft.

Step-by-step explanation:

GIVEN :-

Length of AB = 5 ft
Length of AC = x ft
∠A = 20°

TO FIND :-

Value of 'x'

FACTS TO KNOW BEFORE SOLVING :-

$\cos \theta = \frac{Side \: adjacent \: to \: \theta}{Hypotenuse}$

SOLUTION :-

Side adjacent to ∠A = AC = x

Hypotenuse = AB = 5 ft

⇒ $\cos 20 = \frac{x}{5}$

⇒ $0.9396.... = \frac{x}{5}$

⇒ $x = (0.9396...) \times 5 = 4.6984....$ ≈ 4.7 ft

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