You are an Archer and participating in a tournament. You need to hit the Bull's Eye to win the tournament and the Prize (a big fat pig called "Princess". Wodehouse Anyone?). You love big fat pigs and have to win the Tournament or else loose your sweet heart to one of the other big fat pig lovers.
Anyhow, the task is not easy as the Target is mobile. The target follows a horizontal path of an isosceles triangle with the unequal side being furthest side from you. The trajectory of the path is parallel to the ground. You have taken the measurements and made the calculations beforehand. They are as follows:
- The two equal sides of the trajectory are 5 meters each and the third side being 6 meters.
- You are 80 meters away from the closest vertex of the triangle and are directly in front of it and in a line perpendicular to the furthest unequal side.
- The target is moving at a speed of 28 miles an hour.
- You know that when you release the arrow from a confident and relaxed posture, it always goes at a speed of 98 miles an hour (Yeah always...and you know that).
- Looking from above the target trajectory the target is moving in the counter-clockwise direction.
- You are given special arrows that do not follow the rules of gravity, and will fly parallel to the ground as long as they are within the arena.
After the calculations are you confident that you can get your beloved "Princess"? Why? When and at what angle are to going to shoot your arrow?
If not, are you just going to let another big fat pig lover (!!!RESPECT!!!) going to take your "Princess" away?