While exploring a cave, a spelunker starts at the entrance and moves the following distances. She goes 69.7 m north, 246.8 m east,127.4 m at an angle 37.8 (degrees) north of east, and 127.4 m south. What is the resultant displacement from the cave enterance? The angle should be positive between 0 and 360.(adsbygoogle = window.adsbygoogle || []).push({});

I drew a diagram not 100% accurate but enough to give me a picture. And the resultant displacement I took to be the distance from point A to point D (start point to end point). The equations I used are as follows:

ax= 69.7 cos(90) ay= 69.7 sin(90) = 0, 69.7

bx= 246.8 cos (0) by= 246.8 sin (0) = 246.8, 0

cx= 127.4 cos(37.8) cy= 127.4 sin(37.8) = 100.7, 78.1

dx= 127.4 cos(90) dy= 127.4 sin(90) = 0, 127.4

I found Rx = 347.5

Ry = 275.2

R = (347.5^2 + 275.2^2)^1/2

= 443.2m to be the resultant displacement

angle = tan= 275.2/347.5= 38.4 degrees

Is this the right method?

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# Homework Help: Resultant displacement and angle

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