∴: The coordinate of point C is (200,0).
∫tanα= 12
∴ The slope of the straight line CD is 12.
The linear CD equation is: y = 12 (x? 200)
(2) remember P(x, y),
∫PA≥OC = 200 > AB,
∴∠APB is an acute angle
tan∠APB=|kPA? kPB 1+kPA? kPB|=|y? 220x? y? 300x 1+y? 220x? y? 300x |
=805x4+ 128000x? 360≤2 1 1
When 5x4 = 128000x, take the equal sign, that is, x=320 and y=60.
∴ When the observer is located at P (320 320,60), the maximum viewing angle is arctan2 1 1.