Suppose you walk 11m in a direction exactly 22 degrees south of west, then you w

Question

Suppose you walk 11m in a direction exactly 22 degrees south of west, then you walk 19.5m in a direction exactly 43 degrees west of north. What is the angle of the compass direction of a line connecting your starting point to your final position measured North of West in degrees?

Class Management Help TW N2 Begin Date: 1/30/2018 12:01:00 AM -Due Date: 2/8/2018 6 30.00 PM End Date: 2/8/2018 6:3000 PM (7%) Problem 1: Suppose you walk 11 m in a direction exactly 220 south of west hen you walk 19 S m in a direction exactly west of north 50% Part (a) How far are you from your starting posn, in meters? 50% Part (b) what is the angle of the compass direction of a line connecting your starting point to your fin! postion measured North of West in degrees? 7 8 9 1 2 3 Grade Saimmary Poteshal3 Seban istlons (30h per atternpt) tanO coso cotan asn acoso atan0 acotanO sinh0 coshOtanhO cotanhO sinO Degrees C) Radians Subeit Feedback: o dedaction per feetback -Can yde make a triangle out of your total dinplacement? How do you relte the sngles and sides of night triegles? o#00 @ e

Explanation / Answer

resolve direction in components

r1 = -11 cos 22 i - 11 sin 22 i

= -10.19 i - 4.12 j

r2 = 19.5 cos (90+ 43) + 19.5 sin ( 90+43)

=-13.29 i + 14.26 j

r = r1 + r2 = -23.48 i +10.14 j

mod r = sqrt ( -23.48)^2 + 10.14)^2 = 25.57 m

theta = tan^-1 ( 10.14/-23.48) =- 23.35 degree

23.35 degree from north of west

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