题目内容
正在向正北开的轮船看见正东方向有两座灯塔,过15分钟后,再看这两座灯塔,分别在正东南和南偏东
的方向,两座灯塔相距10海里,则轮船的速度是_______________海里/小时。


设轮船的速度为v海里/小时,起止位置分别为M和N,两灯塔为A、B,则MN=0.25v.AB=10,在△AMN中,∠MNA=45°,∠NMA=90°,∴AN=
v, ,在△ABN中,∠ANB=30°,∠NBA=15°,由正弦定理知
,∴AN=
,即
v
.∴v=
(海里/小时)








练习册系列答案
相关题目