Solve for c:

Find x

Find B:

Find C:

A reconnaissance airplane leaves its airport on the east coast of the United States and flies in a direction of 085^o. Because of bad weather, it returns to another airport 230 km to the north of its home base. For the return trip, it flies in a direction of 283^o. What is the total distance that the airplane flew? 

The triangle above has side lengths 3, 4, and 6. The angle opposite the side of length 6 measures 117.28 degrees. The angle θ is opposite the side of length 3. Determine the angle θ.

A new homeowner has a triangular-shaped backyard. Two of the three sides measure 53 ft and 42 ft and form an included angle of 125^o. To determine the amount of fertilizer and grass seed to be purchased, the owner has to know, or at least approximate, the area of the yard. Find the area of the yard to the nearest square foot.