Question

Find the perimeter and round to the nearest tenth

Answer 1

Perimeter = 12.0 m

Explanation:

Perimeter = AB + AC + BC

AB = 5 m

B = 53°

Use trigonometric functions to find AC and BC respectively.

✔️Find AC:

Reference angle = 53°

Opposite side length = AC

Hypotenuse = 5 m

Apply SOH, which is:

Sin 53 = Opp/Hyp

Sin 53 = AC/5

5*Sin 53 = AC

AC = 3.99317755 ≈ 4 m

✔️Find BC:

Reference Angle = 53

Hypotenuse = 5 m

Adjacent = BC

Apply CAH, which is:

Cos 53 = Adj/Hyp

Cos 53 = BC/5

5*Cos 53 = BC

BC = 3.00907512 ≈ 3.0 m

✔️Perimeter = 5 + 4 + 3 = 12.0 m