ACT Math · Coordinate geometry
Two cell towers are located at coordinates (0,0) and (9,12), measured in miles. What is the distance between the two towers?
Two cell towers are located at coordinates and , measured in miles. What is the distance between the two towers?
Answer and explanation
Answer: G: 15 miles
Use the distance formula: miles, choice G. This is a -- right triangle, which is a -- triangle scaled by . Choice J () stops before taking the square root. Choice H () adds the horizontal and vertical distances, which would be the distance traveled along the grid, not the straight line. Choice F () is half of . The straight-line distance must be less than and greater than .
More Coordinate geometry questions
- Question 25What is the distance between the points (2, 3) and (10, 9)?
- Question 70A line passes through (2, 5) with slope 3/4. What is the slope of a line perpendicular to it?
- Question 112What is the midpoint of the segment connecting (-3, 7) and (9, -1)?
- Question 198What is the image of the point (4, -7) when reflected over the x-axis?
- Question 260A triangle has vertices at (0,0), (6,0), and (0,8). What is its area?
- Question 267What is the image of the point (5, 2) after a 90° counterclockwise rotation about the origin?
Learn the method behind questions like this one
The ACT Math course teaches each tested skill through lessons, step-by-step solutions to sample problems, the complete study guide and full-length practice tests.