Q1.

I throw my boomerang at about 40 degrees north east and it travels 25 feet at which point it turns itself back around and travels 20 degrees north east about 14 feet and finally returning back to me. How far did the boomerang have to fly to return back to me?

Q2.

A car moving towards north East for a distance of 150 miles from his initial position and after that move towards South East direction for a distance of 80 miles. How far is the car from its initial point?

Q3.

During a game of putt-putt, Andrew discovered at hole 6 there was a rock obstacle in the center of the turf. In an attempt at getting a hole-in-one, he hit the golf ball 15 feet at a 20 degree angle, bounced it off of the curb and proceeded 12 feet before finally falling into the cup. What is the total distance between the cup and the origin of the golf ball?

Q4.

If a car left work and headed home going north for 15 miles, then west for 10 miles, then back north for another 5 miles to get home, what is the actual distance from work?