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Answer:
[tex]\boxed {AB = 52 m}[/tex]
Step-by-step explanation:
This forms a right triangle.
Therefore, by using the Pythagorean Theorem, we can find AB.
AB = √AC² + BC²
I hope it helped you solve the problem.
Good luck on your studies!
Answer: Distance AB = 52 m
Step-by-step explanation:
Given information
Point A = 20 m north of point C
Point B = 48 m east of point C
Please refer to the attachment below for a graphical understanding
Concept
According to the graph drawn, Point A, Point B, and Point C form a right angle, and the distance between Point A and B would form a right triangle.
Therefore, we can use the Pythagorean theorem to find the distance between points A and B.
Given formula
a² + b² = c²
Substitute values into the formula
a² + b² = c²
(20)² + (48)² = c²
Simplify exponents
400 + 2304 = c²
Simplify by addition
2704 = c²
c = √2704
c = 52 or c = -52 (reject, since no distance can be negative)
Therefore, the distance AB is [tex]\Large\boxed{52~m}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
