SOLUTION: An east bound car is observed 2 miles north of an outpost 10 minutes later its bearing is 80� 45' east. Find the speed of the car in mph

Question 1016356: An east bound car is observed 2 miles north of an outpost 10 minutes later its bearing is 80� 45' east. Find the speed of the car in mph
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
An east bound car is observed 2 miles north of an outpost 10 minutes later its bearing is 80� 45' east.
Find the speed of the car in mph
:
Change 80 degrees 45 min to 80.75 degrees
This can be solved as a right triangle.
The car travels at a right angle from a 2 mi line from the observer.
The distance (d) traveled by the car is the side opposite 80.75 degrees
Tan(80.75) =
d = 6.14023 * 2
d = 12.28 mi, it traveled in 10 min
:
10 min is 1/6 of an hr. Speed = dist/time
S =
S = 12.28 * 6
S = 73.68 mph
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