help with part b? Problem 1.36 Enhanced with Feedback 9 of 10> What is the magni

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help with part b?

Problem 1.36 Enhanced with Feedback 9 of 10> What is the magnitude of the total displacement of her trip? Express your answer in miles. Figure 1) shows a map of Olivia's trip to a coffee shop. She gets on her bike at Loomis and then rides south 0.8mi to Broadway. She turns east onto Broadway, rides 0.8 mi to where Broadway turns, and then continues another 1.4mi to the shop. d2.0 mi Correct Part B Figure 1 of 1 What is the direction of the total displacement of her trip? Express your answer in degrees Start End- o, measured counterclockwise from the eastward direction roa 30° Submit Previous Answers Request Answer X Incorrect: Try Again; 4 attempts remaining

Explanation / Answer

r = (-0.8 j) + (0.8i) + 1.4(cos30i + sin30j)

r = 2.01i - 0.1j miles

magnitude = sqrt((2.01)^2 + (0.1)^2) = 2.01 mi

(B) theta = 360 - tan^-1(0.1/2.01) = 357 deg

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