Question

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

Answer 1

A = 48°

b = 13.5

c = 20.2

Explanation:

✔️A = 180° - (90° + 42°) (sum of triangle)

A = 48°

✔️To find b and c, apply trigonometric function.

Reference angle = 42°

Opposite = b

Hypotenuse = c

Adjacent = 15

✅Apply TOA to find b:

Tan 42 = Opp/Adj

Tan 42 = b/15

15 × Tan 42 = b

13.5060607 = b

b = 13.5 (nearest tenth)

✅Apply CAH to find c:

Cos 42 = Adj/Hyp

Cos 42 = 15/c

c × Cos 42 = 15

c = 15/Cos 42

c = 20.1844909

c = 20.2 (nearest tenth)