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

Hi Mike J.,

To answer this question I have found the best way is to use the "Law of Sines" formula to determine the desired variable, in this case the variable is the angle at R.

Law of Sines = sin(R)/r = sin(S)/s = sin(T)/t

where I am using R as the angle at the point R inside the triangle

sin(R)/10 = sin(52º)/14

R = sin^-1( (10/14) * sin(52º))

make sure the calculator is in degrees.

R ≈ 34.25415°

R ≈ 34.25°