A plane flies 75 miles south from an airfield, and then travels 120 miles more in a different direction. By this time it bears S29degreesE of the airfield. In what direction is it heading. illustrate and solve.

Answer 1

My diagram shows a triangle with sides 75 and 120 and a con-contained angle of 29° adjacent to the 75 side
by sine law:
sinØ/75 = sin29°/120
sinØ = 75sin29°/120

Once you have the second angle Ø , it is easy to find the third angle and answer your question.

Answer 2

so the second angle is 17.46 and the third angle is 133.54. then it travels to NortEast direction, am I correct?

Answer 3

I am answering this from a Starbucks on my tablet and have no access to a calculator to check your answer.