Question

求人翻译。。。。。

Ronald Ralf, a reporter for MATHSnews, is investigating the
ight paths of ducks migrating north for the
winter. From the origin, Ronald observes the following paths of two ducks:
Donald Duck is
ying with a bearing of N45W and an angle of elevation of 30°
Daisy Duck is
ying with a bearing of N60°E and an angle of elevation of 45°.
In R3, assume: the positive x-axis points in the direction of north; the positive y-axis points in the direction
of west; and the positive z-axis points vertically upwards.
If the sun is directly above the ducks, causing Donald's shadow to be 90m away from Ronald, while Daisy's
shadow is 65m away from Ronald, then:
(a) Sketch the situation geometrically.
(b) Find the height of the each duck.
(c) Find the coordinates of Donald and Daisy.
(d) Find the distance from Ronald to each duck.

Answer 1

MATHSnews记者罗纳德拉尔夫正在调查鸭子为过冬往北迁移的路径。罗纳德从源头观察的两只鸭子的路径如下：
鸭子Donald是朝着北偏西45°的方向且仰角为30° ;鸭子Daisy是
朝着北偏东60° 的人方向且仰角为45 °。
在三维坐标系中，假设：X轴正方向指向北,Y轴正方向
指向西，Z轴正方向表示垂直向上。
如果太阳在鸭子的正上方，造成鸭子Donald的影子离罗纳德有90米，而鸭子Daisy的影子则
距罗纳德65米，则：
（a）画出几何的情形。
（b）求每只鸭的高度。
（c）求鸭子Donald和Daisy的坐标。
（d）求罗纳德到每个鸭距离。

希望你能满意,谢谢