Trigonometry Question

Question

In triangle RST, r = 10, s = 12, t = 14, and m/ T = 52º. Find m/ R.

ROUND TO THE NEAREST TENTH

Answer 1

Lets use proper labeling.

side "a"=10

b =12

c = 14

angles: α=?

β=?

γ=52° (I used this because you have m/T.)

a/sinα=b/sinβ=c/sinγ

10/sinα=12/sinβ=14/.788=17.766.....

10/17.766=.5628; asin=34.254°

γ=180-34.25-17.76=127.979.........°