Question

50 POINTS PLZZ ANSWER
A bike path starts on one side of the parking lot, goes
around a small pond, and comes out on the other end
of the parking lot. Following the path, a biker rides
100.0 meters directly east, then turns south and rides
200.0 meters. From there, she turns and rides 150.0
meters at an angle of 30.0° south of west. Turning
one last time, she rides 250.0 meters at an angle of
60.0° north of west. What is her final displacement
(distance and direction) from her starting point?Show work!

Answer 1

The Coordinate Methodology is a technique for converting geometrical images into formulas, a technique for describing visuals with letters and numbers representing constant and factors. It is essential in learning calculus and other mathematical topics, and the further calculation can be defined as follows:

if  

$\to \bold{A(0,0)}\\\\\to \bold{B(100,0)}$

So,

$\to \bold{C:(100,-200)}\\\\\to \bold{D: (100-75\sqrt{3},-275)}\\\\\to \bold{E: (-25-75\sqrt{3},-125\sqrt{3}-275)}$

calculating the E distance A:

$\to \bold{\sqrt{(-25-75\sqrt{3})^2+ (125\sqrt{3}- 275)^2}}\\\\\to \bold{ 25\sqrt{(225-104\sqrt{3})}}\approx 167.46\ m$

In this question, by using the coordinates method to calculate the distance from the start point to the end point.

Please find the graph in the attached file.

Learn more:

brainly.com/question/21864093