Trigonometry (4) help~ quick

2009-12-25 5:14 am

1. The baering of Wendy at location B from Desmond at location A is 140, and they are 20m apart. Find the distance, correct to 1 decimal place, that Wendy should walk to the north such that the bearing of Wendy from Desmond is 110.

回答 (1)

用戶9112

2009-12-26 8:30 am

✔ 最佳答案

The East West distance between A and B = 20 cos50
The North South distance between A and B = 20 sin50
After moving a distance x to the north, the new North South distance between A and B = 20 cos50 - x
tan20 = (20 sin50 - x)/(20 cos50)
x = 20 sin50 - 20cos50 tan 20 = 10.64

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