Acos = x Asin = y why is it in this problem there is the presence of sin in x and cos in y? Question: A spelunker is surveying a cave. She follows a passage 180 m straight west, then 210 m in a direction 45°east of south, and then 280 m at 30° east of north. After a fourth displacement, she finds herself back where she started. Use a scale drawing to determine the magnitude and direction of the fourth displacement.

University Physics Volume 3
17th Edition
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:William Moebs, Jeff Sanny
Chapter4: Diffraction
Section: Chapter Questions
Problem 4.3CYU: Check Your Understanding For the experiment in Example 4.4, show that m=20 is also a missing order.
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Acos = x
Asin = y

why is it in this problem there is the presence of sin in x and cos in y?

Question: A spelunker is surveying a cave. She follows a passage 180 m straight west, then 210 m in a direction 45°east of south, and then 280 m at 30° east of north. After a fourth displacement, she finds herself back where she started. Use a scale drawing to determine the magnitude and direction of the fourth displacement.

Expert Answer
Step 1
step-!
x= R10x Cas4s°+ & 8ox sin30
Diagram
180
R10
x= 108 49 m
280
ond
* = 280 x Cas 30 - 210 x Sin (45)
130
y= 93.99 m
So displacmemt -S(108-49² +(93-99)2
displacement = 143.5m
Step 2
direction
93.99
step-2
l08.49
0 = 40.90
South of west
Transcribed Image Text:Expert Answer Step 1 step-! x= R10x Cas4s°+ & 8ox sin30 Diagram 180 R10 x= 108 49 m 280 ond * = 280 x Cas 30 - 210 x Sin (45) 130 y= 93.99 m So displacmemt -S(108-49² +(93-99)2 displacement = 143.5m Step 2 direction 93.99 step-2 l08.49 0 = 40.90 South of west
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