Question

Solve the right triangle using the given information a = 78.6 yd, b = 40.2 yd Calyd (Simplify your answer. Type an integer or a decimal. Round to the nearest tenth if needed) A (Simplify your answers. Type an integer. Round to the nearest ten minutes if needed) B=0° (Simplify your answers. Type an integer. Round to the nearest ten minutes if needed)

Answer 1

a = 78.6 , b = 40.2

in the triangle applying law of cosines

c^2 = a^2 + b^2 - 2 (a) (b) cos C

c^2 = 78.6 ^2 + 40.2^2

c = 88.3

c = 88.3

applying law of sines

a / sin A = c / sin C

78.6 / sin A = 88.3 / sin 90

A = 62.89

A = 62 degrees 50 '

40.2 / sin B = 88.3 / sin 90

B = 27.08

B = 27 degrees 4 '