6. A real estate lot has the shape of an isosceles triangle. (Isosceles means two sides of the same length.) The lot is bounded by Maple Street, Pine Street, and Elm Street. The sides of the lot bounded by Maple and Pine are 150 feet long. Pine and Elm streets intersect at an angle of 50 degree. Find the area of the triangular lot. One acre is 43,560 square feet. Find the area of the lot, measured in acres (to the nearest hundredth of an acre). Show work.

8. Two hikers leave the same tent at a campground and go separate ways. One hiker walks 8 miles directly south to Ashville, and the other hiker walks 14 miles directly northwest (i.e., N45degree W) to Bellville. (Assume that the terrain is flat.) How far apart are Ashville and Bellville (by the most direct route)? Show work. (You may find it very helpful to draw a picture, but you do not need to submit it.) Round your answer to the nearest tenth of a mile.