Problem

Find the end point of a line segment with a start point of (3,4) and a length of \(5\sqrt{2}\). The line segment is moving along a path that forms a 45 degree angle with the positive x-axis.

Solution

Step 1 :Step 1: For a line segment moving at a 45 degree angle, the change in x and y coordinates are the same. We can use the length of the line segment to find this change. Since the length of the line segment is \(5\sqrt{2}\), the change in the x and y coordinates is 5.

Step 2 :Step 2: We add this change to the x and y coordinates of the start point to find the end point. So, the new x coordinate is \(3 + 5 = 8\) and the new y coordinate is \(4 + 5 = 9\).

From Solvely APP
Source: https://solvelyapp.com/problems/YorpbfG7Jr/

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