What is the distance between the origin and the point (5, 12)? If necessary, round your answer to two decimal places.
What is √(5^2 + 12^2) ?
25 + 144 cube root
169 cube root
13
Mary leaves a dock paddling her canoe at 3m/s. She heads downstream at an angle of 30 degrees to the current which is flowing at 4 m/
To find the distance between two points in a coordinate plane, we can use the distance formula. The distance formula is derived from the Pythagorean theorem.
The distance formula is given by:
d = √((x2 - x1)² + (y2 - y1)²)
In this problem, the coordinates of the origin are (0, 0) and the coordinates of the point are (5, 12).
Substituting the coordinates into the distance formula, we have:
d = √((5 - 0)² + (12 - 0)²)
Simplifying, we get:
d = √(5² + 12²)
d = √(25 + 144)
d = √169
d = 13
Therefore, the distance between the origin and the point (5, 12) is 13 units.