An airplane is flying at an altitude of 6 miles and passes directly over a radar antenna. When the plane is 10 miles away the radar detects that the distance is changing at a rate of 240 miles per hour. What is the speed of the plane?
Plane-> 10 miles
6 c ?=v=240 mph ?136
a^2+b^2=c^2
2a a ?+2b b ?=2c c ?
ds/dt=240/1
dx/dt when s=10
x^2+6^2=s^2
x=?(s^2-36)=?(100-36)=8
2x dx/dt=2s ds/dt
2s/2x (ds/dt)=dx/dt
dx/dt=10/8 (240)=300mph
Plane-> 10 miles
6 c ?=v=240 mph ?136
a^2+b^2=c^2
2a a ?+2b b ?=2c c ?
ds/dt=240/1
dx/dt when s=10
x^2+6^2=s^2
x=?(s^2-36)=?(100-36)=8
2x dx/dt=2s ds/dt
2s/2x (ds/dt)=dx/dt
dx/dt=10/8 (240)=300mph