(13%) Problem 8: Consider that an aviator flies 44 km in a direction 60° north o

Question

(13%) Problem 8: Consider that an aviator flies 44 km in a direction 60° north of east and then flies 31 km in a direction 15° north of east as shown in the figure eB 15° A B R eA 60° Otheexpertta.com 50% Part (a) Find her distance R from the starting point in kilometers Grade Summa Deductions Potential ry 0% 100% cos0 cotan asin0 tanO ( acosO Submissions Attempts remaining: 5 (10% per attempt) detailed view Si11 atan acotan sinhO cosh0 anh cotanhO Degrees Radians NO Submit Hint Hints: 590 deduction per hint. Hints r emaining: 4 Feedback: 0% deduction per feedback. 50% Part (b) Find the angle inNofE

Explanation / Answer

A = 44 cos60 i + 44 sin60 j = 22 i + 38.11 j

B = 31 cos15 i + 31 sin15 j = 29.94 i + 8.02 j

A + B = 51.94 i + 46.13 j

Resultant, R = sqrt(51.94^2 + 46.13^2) = 69.47 km

Angle, theta = arctan (46.13/51.94) = 41.61 degree

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