Maths S.3 urgent

t.t rubbish

2010-03-29 3:34 am

Two ships B and C depart form port A at the same time. Ship B sails 8 km at a bearing of S45W and then stops. Ship C sails 12 km at a bearing of S57E and then stops. After both ships stopped,
(a) what are the distances of ship B due west from port A and due south from port A respectively?
(b) what are the distances of ship C due east from port A and due south from port A respectively?
(c) what is the distance between ships B and C?
(d) find the compass bearing of ship B from ship C.
(correct to 3 sig fig)

回答 (1)

kimwong3252000

2010-03-31 8:49 pm

✔ 最佳答案

(a)
distances of ship B due west from port A= 8 cos 45
= 5.66
due south from port A
= 8sin45
= 5.66

(b)
distances of ship C due east from port A
=12cos33
=10.1
due south from port A
=12cos57
=6.54

(c)
distance between ships B and C
=√ (8 cos 45+12cos33)^2+(12cos57-8sin45)^2
= 15.7

(d)
angle
= tan^-1[(12cos57-8sin45)/(8 cos 45+12cos33)]
= 3.20

compass bearing= N 86.8 W

參考: ME

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