The Expert TA % ) Problem 3: Suppose you walk 10.5 m in a disection exactly 2 r.

Question

The Expert TA % ) Problem 3: Suppose you walk 10.5 m in a disection exactly 2 r. sooth of west 44" west of noeth. yo. walk 21 s m in a directee endy 25% Part (a) How far are you from your starting point in m? sin0 coso atan0 acotan sinh0 DegreesRadians coshn c otanho Subait Feedback: 1 dedaction er fendhack Himls:deduction per hint Hints nemaining th f That east dN rection of a line connecting your tarting p intl you f al position - 25% Part (b) what is the angle oft West in degrees? e pass 25% Part (c) Repeat part (a) west of north, and then leg A, which is 105 in a direction exactly 2P south of is, you first walk leg B, which is 21.5 m in a direction exactly 4 west ion of a line connecting your start ng point to your final position measured Noth of 25% Part (d) what is the angle of the compass dir

Explanation / Answer

South component of 1st. leg = (sin21*10.5) = 3.76 metres.
North component of 2nd. leg = (cos44*21.5) = 15.5 metres.
NET north of origin = (15.5 - 3.76) = 11.74 metres.

West component of 1st. leg = (cos21*10.5) = 9.8 metres.
West component of 2nd. leg = (sin44*21.5) = 14.9 metres.
TOTAL west of origin = (14.9 + 9.8) = 24.7 metres.

a)
Magnitude = sqrt(24.7^2 + 11.74^2) = 27.35 metres.

b)
Direction = arctan (11.74/24.7) = 25.4 degrees north of west.

c) 27.35 m

d) 25.4 degrees

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