Question 1005166: An arctic village maintains a circular cross-country ski trail that has a radius of 4.5 kilometers. A skier started skiing from the position (4.5,0) and skied counter-clockwise for 1.8 kilometers before stopping for a rest.
Determine the ordered pair (measured in radius lengths) on the coordinate axes that identifies the location where the skier rested).
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! The radius is 4.5 km, so a radian is 4.5 km, and the skier went 1.8 km or 0.45 radian before taking a rest.
x^2+y^2=20.25 (r^2)
The sine of 0.45 radian is 0.4350. Multiply that by 4.5 to get the y-value,1.9575
The cosine of 0.45 radian is 0.9004. Multiply that by x, 4.5, to get 4.052. That is the the x-value
(4.052,1.9575)
That is done because the sine is x/radius.
The two coordinates squared and added=20.25.
|
|
|
