Answered

Find expert answers and community support for all your questions on IDNLearn.com. Get accurate and detailed answers to your questions from our dedicated community members who are always ready to help.

Point A and B are respectively 20m north and 48m east of point c.find the distance AB

Sagot :

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

  • AB = √(20)² + (48)²
  • AB = √400 + 2304
  • AB = √2704
  • AB = 52m

I hope it helped you solve the problem.

Good luck on your studies!

Eunice1234idn

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

  • a = distance between point A and point C
  • b = distance between point B and point C
  • c = distance between point A and point B

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

View image Eunice1234
Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Thank you for choosing IDNLearn.com. We’re committed to providing accurate answers, so visit us again soon.