Tuesday

July 22, 2014

July 22, 2014

Posted by **soffy** on Monday, June 11, 2012 at 10:00am.

The flasher on top of the cruiser revolves at a constant rate of 75 /second, and the light beam casts a spot of light as it strikes the wall.

How fast is the spot of light moving along the wall at a point 50 ft from the point on the wall closest to the cruiser?

<---10--->

- calculus -
**Steve**, Monday, June 11, 2012 at 11:15amIf x is the distance from the closest point on the wall, then

x = 10 tanθ

dx/dt = 10 sec^2θ dθ/dt

when x=50, tanθ = 5, so secθ = √26

dx/dt = 10(26) (75)(2π) = 39000π ft/sec

**Related Questions**

calculus - A police cruiser, approaching a right –angled intersection from the ...

calculus - Two roads intersect at an angle of 48º. A car and truck collide at ...

Physics - A car is speeding at 33.4 m/s. A police car starts in pursuit from ...

Physics (algebra) - the sonar of a navy cruiser detects a submarine that is d=...

Calculus AB - A police car is chasing a suspect. The policemen is at point y=0.6...

Physics - An attacker at the base of a castle wall 3.82 m high throws a rock ...

physics - If a mass attached to the center of a vertical circle swings around at...

law - Did the police conduct a lawful search and seizure under the guidelines ...

history - please help me with this because of its reliance on aircraft to carry ...

Physics - A person on top of a wall of height 3.4 m stands near the edge, leans ...