Question

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

Answer 1

AC ≈ 4.7 ft.

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 = (Side \: adjacent \: to \: \theta)/(Hypotenuse)`

SOLUTION :-

Side adjacent to ∠A = AC = x

Hypotenuse = AB = 5 ft

⇒
`\cos 20 = (x)/(5)`

⇒
`0.9396.... = (x)/(5)`

⇒
`x = (0.9396...) * 5 = 4.6984....` ≈ 4.7 ft