A treasure map directs you to start at a palm tree and walk due north for 15.0 m

Question

A treasure map directs you to start at a palm tree and walk due north for 15.0 m. You are then to turn 90 and walk 22.0 m; then turn 90 again and walk 5.00 m.

Part A

Give the distance from the palm tree, and the direction relative to north, for each of the four possible locations of the treasure.

Check all that apply.

A treasure map directs you to start at a palm tree and walk due north for 15.0 m. You are then to turn 90 and walk 22.0 m; then turn 90 again and walk 5.00 m.

Part A

Give the distance from the palm tree, and the direction relative to north, for each of the four possible locations of the treasure.

Check all that apply.

Check all that apply. 22.8 m, 48.6 east of north 29.7 m, 47.7 west of north 22.8 m, 48.6 west of north 24.2 m, 65.6 west of north 29.7 m, 42.3 west of north 24.2 m, 24.4 west of north 24.2 m, 65.6 east of north 30.9 m, 60.9 west of north 29.7 m, 47.7 east of north 30.9 m, 60.9 east of north

Explanation / Answer

r1 = 15 j

r2 = 22 i or - 22 i

then r3 = 5j Or -5j

r = r1 + r2 + r3

r = - + 22 i + 20 j Or - + 22 i + 10 j

possible distances = sqrt(22^2 + 20^2) Or sqrt(22^2 + 10^2)

= 29.7 m Or 24.2 m

for 29.7 m, angle from noth = tan^-1(22/20) = 47.7 deg

for 2.42 m, angle fromnroth = tan^-1(22/10) = 65.6 deg

Ans: 29.7m . 47.7 west of north

24.2 m , 65.6 west of north

24.2 m, 65.6 east of north

29.7 m, 47.7 east of north

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