Very Urgent

2007-04-23 4:21 am
Kenny and Nancy start at the same position and walk in the directions of S58E and S32W respectively.Kenny walks at 8km/h and Nancy walks at 6km/h. Find their distance apart after 3 hours and the compass bearing of Nancy from Kenny.
更新1:

This is not the answer! Please help me!

回答 (1)

2007-04-23 7:26 am
✔ 最佳答案
Let the position of the starting point be O.
Let the positions of Nancy and Kenny be N and K, respectively.

(You should notice that the angle between S58E and S32W is 90°)

Since ∠NOK = 90°, then
NK²
= ON² + OK²
= (8*3)² + (6*3)²
= 900

NK = 30

Their distance apart after 3 hours are 30km.

tan ∠ONK = (6*3) / (8*3)
∠ONK = 37°

Since 37° > 32°, then 90°- ( 37° - 32°) = 85°
the compass bearing of Nancy from Kenny is S85°W


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