SOLUTION: Instruction: Solve and show your solution. Problem: Find the resultant of A=30lbs upward and B=40lbs to the left.

Algebra ->  Pythagorean-theorem -> SOLUTION: Instruction: Solve and show your solution. Problem: Find the resultant of A=30lbs upward and B=40lbs to the left.      Log On


   

Question 1198181: Instruction: Solve and show your solution.
Problem:
Find the resultant of A=30lbs upward and B=40lbs to the left.
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

Draw a right triangle with vertical leg 30 and horizontal leg 40.

We'll use a = 30 and b = 40 to find the following
a%5E2%2Bb%5E2+=+c%5E2 Pythagorean theorem

c+=+sqrt%28a%5E2%2Bb%5E2%29

c+=+sqrt%2830%5E2%2B40%5E2%29

c+=+sqrt%28900%2B1600%29

c+=+sqrt%282500%29

c+=+50
The hypotenuse is 50 units long.

This is a 30-40-50 right triangle based on the 3-4-5 right triangle (scale each side by a factor of 10).

The result vector is therefore 50 pounds upward and to the left.