Please show your work so I know how to get the answer, thank you! Item 3 Part A
ID: 1657749 • Letter: P
Question
Please show your work so I know how to get the answer, thank you! Item 3 Part A A plane leaves Seattle, flies 820 mi at 21 0 north of east, and then changes direction to 51.0 °south of east. After flying at 120 mi in this new direction, the pilot must make an emergency landing on a field. The Seattle airport facility dispatches a rescue crew In what direction should the crew fly to go directly to the field? Use components to solve this problem ° south of east Submit My Answers Give Up Incorrect; Try Again; 4 attempts remaining Part B How far should the crew fly to go directly to the field? Use components to solve this problem d- Submit My Answers Give Up Provide Feedback ConExplanation / Answer
here,
the displacemnet 1 ,d1 = 82 mi * ( cos(21) i + sin(21) j)
d1 = 76.6 i mi + 29.4 j mi
the displacement 2 , d2 = 120 * ( cos(51) i - sin(51) j) mi
d2 = 75.5 i mi - 93.3 j mi
the displacment for the crew to fly directly to the feild , d = d1 + d2
d = 152.1 i mi - 63.9 j mi
a)
theta = arctan(63.9/152.1) = 22.8 degree
b)
distance travelled , |d| = sqrt(152.1^2 + 63.9^2) = 165 mi