(896) Problem 12: You drive 8.5 km in a straight line in a direction 19° east of

Question

(896) Problem 12: You drive 8.5 km in a straight line in a direction 19° east of north Find the total distance, in kilometers, you would have traveled if you drove straight east and then straight north to arrive at the same point Grade Summary Deductions Potential 0% 100% tan() ( acosO sinh0) Submissions Attempts remaining:3 (15% per attempt) detailed view sin() cosO cotanO asinO atan)a acotanOsi cosh0 nh cotanh0 Degrees Radians 0 Submit Hint I give up! Hints: 2 % deduction per hint. Hint s remaining: 3 Feedback: 4% deduction per feedback.

Explanation / Answer

Let R be the net ditance or displacement at 19° east of north, then

Distance travelled along north = Rcos 19° and

Distance travelled along East = Rsin19°

Thus total distance travelled = R(cos19° + sin19°)

= 8.5 × (0.945518+ 0.32556)

= 10.804 km

So, d = 10.8 km

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