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View History Bookmarks People Window Help Thu 9:42 PM Q Human-lke G Solved Suppose a pilot files e Expert TA IHuman-lke Or lcome, Laryn- B. bSuggested Sites D Sites D Notfications SAP.. Google 12 Web Slice Gallerymported From Sefari D Login to MyADP SECU Oniline Ch Google Homework #3 Begin Date: 2142018120|10 AM-Duelate Homework #3 Begin Date: 214/2018 1201:00 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 39 km in a direction 60, north of east and then flies 27 km in a direction 15° north of east as shown in the figure. A B R WE 6,=60° Ctheespertta.com ed ed 50% Part (a) Find her distance R from the starting point in kilometers. Grade Summary Allempts rewaining 19 cotani) asin) acos atan) acctansinh coshO cotanho Degrees Radians 808 ,a 5 8 0 0

Explanation / Answer

Consider the right angled traingles formed with angle 60 deg and 15 deg

The X and Y components from each will be:

X:

X(60) = 39 cos60 = 19.5 km

X(15) = 27 cos15 = 29.1 km

Y:

Y(60) = 39 sin60 = 33.8 km

Y(15) = 27 sin15 = 7 km

Xnet = 19.5 + 29.1 = 48.6 km

Ynet = 33.8 + 7 = 40.8 km

R = sqrt (48.6^2 + 40.8^2) = 63.46 km

Hence, R = 63.46 km

angle = theta = tan^-1(40.8/48.6) = 40 deg

Hence, theta = 40 deg

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