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 hundredth where applicable class=

Respuesta :

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)

Answer:

m∠a=37

AC= 3.99

BC= 3.01

I just took the test and it was right:)