Need help with the second part (c3p2) Ajogger runs directly east for 3 km, then

Question

Need help with the second part

(c3p2) Ajogger runs directly east for 3 km, then turns and goes northwest for 8 km. He then travels directly south for 5 km. How far is he from the starting point? (km) 2.74 km You are correct. Your receipt no. is 153-3890 Previous Tries In what direction is he from the starting point (measured as an angle counterwise from the east axis, units are deg)? (Northwest is the direction lying exactly half way between north and west.) 135 Submit Answer Incorrect. Tries 5/10 Previous Tries

Explanation / Answer

Here , for the total displacement

Dnet = 3 i + 8 * (- cos(45) i + j * sin(30)) - 5j

Dnet = -2.7 i - 1 j km

Dnet = sqrt(2.7^2 + 1^2) = 2.84 km

the distance from the starting point is 2.84 km

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for the direction

angle with east = 180 + atan(1/2.7)

angle with east = 200 degree

the angle with east is 200 degree

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