Consider four finalists in a treasure hunt who are brought to the center of a la

Question

Consider four finalists in a treasure hunt who are brought to the center of a large, flat field. Each is given a meterstick, a compass, a calculator, a shovel, and (in a different order for each contestant) these three displacements:

72.4 m, 32.0 east of north;

57.3 m, 36.0 south of west;

17.8 m straight south.

The three displacements lead to the point where the keys to a new Porsche are buried. The finder gets the Porsche. Three of the four contestants start measuring immediately, but the winner first calculates where to go. What does he calculate?

A. In a second contest, the three displacements given are 70.9 m , 55 west of north; 15.2 m straight north; and 90.7 m , 45 south of east. What magnitude does the winner calculate for the displacement to find the keys to the Porsche?

B. What direction does the winner calculate for the displacement to find the keys to the Porsche?

Secure https://session.masteringphysics.com.myctitemtiew?assg blemID-81027909 Practice Poblam 1. SaLVE The cc pas Ango r component 72.4 m 218 17.8 m R759 mR-882 7.99 "(9.92 in) 12.7 m an 129 west of north Part A- Practiee Problem: Part B Practice Problem Continue 123 m

Explanation / Answer

Ax = -70.9*sin 55° = -58.08
Ay = 70.9*cos 55° = 40.67

Bx = 0
By = 15.2

Cx = 90.7*sin 45° = 64.13
Cy = -90.7*cos 45° = -64.13

X = Ax+Bx+Cx = 6.05 m
Y = Ay+By+Cy = -8.26 m

A) D = X^2+Y^2 = 10.24 m
B) angle = arctan X/Y = 36.22* South of East

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