Use the given information to solve the triangle Delta ABD yo

Use the given information to solve the triangle Delta ABD (you may use law of Sines or Cosines). Round your answer to two decimal places. a = 3.6 in, b = 4.2 in, d = 4.8 in

Solution

a = 3.6 in

b = 4.2 in

d = 4.8 in

applying law of cosines

a^2 = b^2 + d^2 - 2bd cos A

plugging the values

3.6^2 = 4.2^2 + 4.8^2 - 2(4.2)(4.8) cos A

-27.72 = -40.32 cos A

A = cos^-1 ( 27.72 / 40.32) = 46.56

A = 46.56 degrees

applying law of sines

a / sin A = b / sin B

3.6 / sin 46.56 = 4.2 / sin B

sin B = 4.2 / 4.95

B = 58.04 degrees

D = 4.8 / 4.95 = 75.85 degrees

angle A = 46.56

angle B = 58.04

angle D = 75.85