A dog walks due east 180 feet to a corner. After turning through an angle of 81.5°, the dog walks 329 feet to the second corner (see description for for full problem)

Question

A dog walks due east 180 feet to a corner.

After turning through an angle of 81.5°,

the dog walks 329 feet to the second

corner. Then the dog walks back to the

starting point. What is the area of the

triangle formed by his path?

Answer 1

The obtuse triangle has legs of 180 and 329 and the angle between these legs is 98.5 degrees.

The area of this triangle is .5*180*329*sin 98.5 degrees.