Question

Solve the right triangle. Round your answers to the nearest tenth.

Answer 1

Answer:

A = 33°

b = 41.6

c = 49.6

Step-by-step explanation:

✔️A = 180° - (90° + 57°) (sum of triangle)

A = 33°

✔️To find b and c, apply trigonometric functions.

Reference angle = 57°

Opposite = b

Hypotenuse = c

Adjacent = 27

To find b, apply TOA:

Tan 57 = Opp/Adj

Tan 57 = b/27

b = 27 × Tan 57

b = 41.5763539 ≈ 41.6 (nearest tenth)

To find x, apply CAH:

Cos 57 = Adj/Hyp

Cos 57 = 27/c

c × Cos 57 = 27

c = 27/Cos 57

c = 49.5741184 ≈ 49.6 (nearest tenth)