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Help , 45%) Thu 4:23 PM Help i Home I Homework #3 Begin Date: 2/14/2018 12:01:00

ID: 1872557 • Letter: H

Question

Help , 45%) Thu 4:23 PM Help i Home I Homework #3 Begin Date: 2/14/2018 12:01:00 AM -Due Date: 2/22/2018 11:59:00 PM End Date: 5/21/2018 11:59:00 PM (10%) Problem 4: Suppose a pilot flies 38 km in a direction 60° north of east and then flies 35 km in a direction 15° north of east as shown in the figure. = 15° A+B-R 0A 60 50% Part (a) Find her distance R from the starting point in kilometers. 50% Part (b) Find the angle in' N of E. Grade Summary Dedactions 100% 4 5 6 per atitempe) cotan0 asinacos0 atan0 acotan0 sinh0 ed O Degrees Radians 20

Explanation / Answer

r1 = 38 (cos60i + sin60 j )

r1 = 19 i + 32.9 j


r2 = 35(cos15i + sin15j) = 33.8i + 9.06j


R = r1 + r2 = 52.8 i + 41.96j


(A) distance = sqrt(52.8^2 + 41.96^2)

= 67.4 km


(B) theta = tan^-1(41.97/52.8) = 38.5 deg