Calculus
posted by Nikki .
(Another related rate question)
A plane (alt. 4000ft) is flying west at 700ft/sec. A searchlight under its path, tracks it. How fast if the light pivoting when the plane is 1000ft east?

Kind of similar to the lamp post question I posted earlier. I know dp/dt, 700ft/sec. We're looking for the rate of the light, dl/dt. 4000ft is a constant. I also think p would be 1000ft, but I'm not quite sure.
Again, I'm not quite sure about the equation. I do know, based on my picture, that there will be trig functions involved, based on the angle of the searchlight moving to track the plane. Help again?
Thanks!
Respond to this Question
Similar Questions

calculus
A plane is flying west at 500 ft/sec at an altitude of 4000 ft. The plane is tracked by a searchlight on the ground. If the light is to be trained on the plane, find the change in the angle of elevation of the searchlight at horizontal … 
Algebra 2
1. Plane A is 40 mi south and 100 mi east of Plane B. Plane A is flying 2 miles west for every mile it flies north, while Plane B is flying 3 mi east for every mile it flies south. a. Where do their paths cross? 
Math
Plane A is 40 mi south and 100 mi east of Plane B. Plane A is flying 2 miles west for every mile it flies north, while Plane B is flying 3 mi east for every mile it flies south. a. Where do their paths cross? 
Please Anyone!!!
Plane A is 40 mi south and 100 mi east of Plane B. Plane A is flying 2 miles west for every mile it flies north, while Plane B is flying 3 mi east for every mile it flies south. a. Where do their paths cross? 
Calculusss ( pleassee someboddy heelp )
an airplane flying due east at 400 km/h pasess over an airport 12 minutes before a second plane flying south 30 degrees west at 500 km/h.if the airplanes are at the same altitude how fast will they by seprating when the seccong plane … 
Honors Trig.
A plane is flying at a speed and direction of 550 mph, 25 degrees north of west. There is a wind of 28 mph, at an angle of 19 degrees south of the east direction. How fast is the plane actually flying? 
Math
A plane on a search mission flew east from an airport, turned, and flew west back to the airport. The plane crised at 300km/h when flying east, and 400km/h when flying west. The plane was in the air for 7 hours. How far from the airport … 
Math (Ms. Sue Please help!)
A plane on a search mission flew east from an airport, turned, and flew west back to the airport. The plane cruised at 300km/h when flying east, and 400km/h when flying west. The plane was in the air for 7 hours. How far from the airport … 
Anyone Please Help!
A plane on a search mission flew east from an airport, turned, and flew west back to the airport. The plane cruised at 300km/h when flying east, and 400km/h when flying west. The plane was in the air for 7 hours. How far from the airport … 
algebra 2
plane a is 40 mi south and 100 mi east of plane b. plane a is flying 2mi west for every mile it flies north, while plane b is flying 3 mi east for every mile it flies south. which plane must fly farther