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8 votes
Solve the triangle below. type all answers as integers (no labels). Round to the nearest hundredth where applicable.

Solve the triangle below. type all answers as integers (no labels). Round to the nearest-example-1

2 Answers

8 votes

Answer:

m∠a=37

AC= 3.99

BC= 3.01

I just took the test and it was right:)

answered
User Shusen Yi
by
7.5k points
8 votes

Answer/Step-by-step explanation:

The triangle is a right triangle.

✔️m<A = 180° - (53° + 90°)

m<A = 37°

✔️Find AC using trigonometric ratio:

Reference angle = 53°

Opposite = AC

Hypotenuse = 5 m

Thus:

Sin (53) = opp/hyp

Sin (53) = AC/5

5*Sin(53) = AC

AC = 3.99 (nearest hundredth)

✔️Find BC using trigonometric ratio:

Reference angle = 53°

Hypotenuse = 5

BC = Adj

Cos (53) = adj/hyp

Cos (53) = BC/5

5*Cos(53) = BC

BC = 3.01 (nearesth hundredth)

answered
User Sotcha
by
8.5k points

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