Two cars leave an intersection at the same time. One heads due south at 55 mph. The other travels due west. After 2 hours, the b
earing of the car headed west from the car headed south is 324 . How far apart are they at that time?
1 answer:
Answer:
136 miles
Step-by-step explanation:
Distance is product of speed and time.
Given the car that moves South takes 2 hours then the speed is 55 mph
D=st
Where s is speed, t is time and D is distance covered. Substituting 2 hours for time and 55 mph for s then
Distance=2*55=110 miles
Using trigonometry
Cos 36°=110/x
X=110/cos 36°=135.967477524977 miles
Alternatively
X=110/sin 54°=135.967477524977
Rounded off, this is approximately 136 miles
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