A street light is mounted at the top of a 15-ft-tall pole. A man 6 feet tall walks away from the pole with a speed of 5 ft/s along a straight path. How fast (in ft/s) is the tip of his shadow moving when he is 45 feet from the pole?

Q: A rotating light is located 10 feet from a wall. The ligh rotation every 4 seconds. Find the rate at…

A: Speed of light when moving along the wall:  We'll start with the distances of the light on the wall…

Q: sin(5æ)dx : 5x

A:

Q: A 4 m long ladder is resting against a vertical wall when it suddenly starts to slide down the wall.…

A: This question can be solved using the concept of rate of change of quantities.

Q: A rotating light is located 15 feet from a wall. The light completes one rotation every 4 seconds.…

A: To find the rate of change of the projection of light onto the wall when the light's angle is 15…

Q: 20. The current in a household appliance varies according to the equation A (t) = 5 sin(120πt),…

A:

Q: Write the given nonlinear second-order differential equation as a plane autonomous system. x' = yl…

A: Given differential equation is x'''+7(x/(1+x²))+4x'=0  Let x'=y  implies…

Q: A television camera is positioned 4000 ft from the base of a rocket launching pad. The angle of…

A:

Q: A hot air balloon lifts off from ground rising vertically. From 100 feet away, a 5' woman tracks the…

A: Given that a hot air balloon lifts off from ground rising vertically. From 100 feet away, a 5 feet…

Q: l+4vx 15. dx =

A: Given that:∫e1+4xxdx

Q: Right triangle ABC has a hypotenuse BC that maintains a length of exactly 15 yards. If the leg AC is…

A: For finding the rate of change of angle  we will use some trigonometric functions like…

Q: One of the guiding principles of most sports is to "keep your eye on the ball." In baseball, a batt…

A: The figure

Q: u rocket is launched verheally upward from a point a miles wr on the around. what is the speed of

A:

Q: 2000 A television camera at ground level is 2000 feet away from the launching pad of a space rocket…

A: Consider the given figure. We have to calculate θ'. The distance between the camera and rocket is…

Q: A military radar identified an unknown object flying above Andaman Sea. The Radar Intercept Officer…

A:

Q: shown in the figure, P is the point on shore closest to the lighthouse and Q is a p the speed of the…

A:

Q: A boat leaves a port traveling due east at 18 mi/hr. At the same​ time, another boat leaves the same…

A:

Q: 9 cm B' X cm 4 cm A' 2 cm Solve for x.

A: in the triangle  ABC AB=9 cmAC=4 cm    in triangle A'B'C' A'B'=x cmA'C'=2 cm