Question

Rakimi is playing a video game. Her character is on a quest to vanquish an evil sorcerer in a castle surrounded by cannons. Her character is an archer whose powerful arrows can reach a range of 6 units. The location of the objects in the game are stored in a computer program in terms of (x,y) coordinates. The archer is at (5,4); cannon A is at (8,7); cannon B (2,-1); and cannon C is at (9,0).

1. Which cannon can the archer's arrow reach?
2. At what location (in terms of coordinates), does the archer must go so that her arrow can reach the evil sorcerer who is located at (-4,-3)?

I really don't know how to solve it, I already spend many hours in researching about this kind of problem and about trying some formulas, please help me. Also it states the I need to illustrate it using RCP. What is RCP? Thank you very much in advance.

Answer 1

1. use the distance formula to find if the archer is within range of any cannon

2. any location within a circle of radius 6, centered at (-4,-3)
... the equation of the circle is ... (x + 4)^2 + (y + 3)^2 = 36


don't know RCP

Answer 2

Thank you once again!

Answer 3

RPC stands for rectangular coordinate plane