[4] A roller coaster moves 85 m horizontally, then travels 45 m at an angle of 30^circ above the horizontal. What is its displacement from its starting point Use graphical techniques (with ruler and protractor) Displacement is 125.9 m at 10.3^circ above the horizontal.

To find the displacement of the roller coaster from its starting point, we can use the concept of vector addition. We can represent the horizontal and vertical movements of the roller coaster as vectors and then add them together to find the resultant displacement vector.<br /><br />Let's break down the problem step by step:<br /><br />1. Draw a horizontal line representing the initial 85 m movement of the roller coaster.<br />2. From the endpoint of the horizontal line, draw a vector at an angle of 30 degrees above the horizontal representing the 45 m movement of the roller coaster.<br />3. Use a ruler to measure the length of the resultant vector from the starting point to the endpoint of the second vector.<br />4. Use a protractor to measure the angle of the resultant vector above the horizontal.<br /><br />By following these steps, we can find the displacement of the roller coaster from its starting point.