A red car is driving along the road in the direction is 200 feet up the road from the location of the pe radar reads that the distance between the police decreasing at a rate of 95 feet per second. How

Q: A plane leaves the airport flying due west at 440 mph while another plane leaves the same airport at…

A: Given that the plane A moves west at a speed of 440 mph Plane B moves South at a speed of 392 mph…

Q: The altitude of a triangle is increasing at a rate of 33 centimeters/minute while the area of the…

A:

Q: A man 6 ft tall is walking toward a building at the rate of 5 ft/s. There is a light on the ground…

A:

Q: A wolf and a bear leave from the same point at the same time. The wolf goes east at 12 feet per…

A: Given: Speed of wolf=12feet/sec Speed of bear=5feet/sec

Q: The altitude of a triangle is increasing at a rate of 22 centimeters/minute while the area of the…

A:

Q: A boy whose height is 3 feet plays at night with his shadow using flashlight as light source. With…

A: Here we have find the rate of change height of shadow of boy.

Q: A right triangle has legs of 6 inches and 8 inches whose sides are changing. The short leg is…

A: Given, A right triangle has legs of 6 inches and 8 inches whose sides are changing. The short leg is…

Q: Professor Jaramillo's 4-year-old son found a large jar of paint and decided to kick it, knocking it…

A:

Q: A 5 foot girl is walking toward a 20- foot lamppost at the rate of 6 feet per second. How fast is…

A:

Q: The sides of an equilateral triangle are increasing at a rate of 12 inches per minute. At what rate…

A: Area of equilateral triangle A=/--3/4 a2 Here a = side of the equilateral triangle Differentiate A…

Q: A spotlight on the ground shines on a wall 12 m away. If a girl 1.2 m tall walks from the spotlight…

A:

Q: The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute while the area of the…

A: The objective is to find the rate at which base of the triangle is changing when altitude is 10…

Q: Two cars start moving from the same point. One travels south at 40 mph and after one hour, the other…

A:

Q: A 5-foot-tall woman walks at 8 ft>s toward a streetlight that is 20 ft above the ground. What is…

A:

Q: A plane flying with a constant speed of 14 km/min passes over a ground radar station at an altitude…

A:

Q: A baseball diamond is a square with side 90ft. A batter runs toward first base at 25 feet per…

A: Assume x = distance batter has run at time t andD = distance from second base to the batter attime…

Q: A street light is mounted at the top of a 15 foot tall pole. A man 6 feet tall walks away from the…

A:

Q: Two cars start moving from the same point. One travels south at 48 mi/h and the other travels west…

A:

Q: A man 6 ft tall walks at a rate of 4 ft/sec away from a lamppost that is 16 ft high.  At what rate…

A: Let x be the distance of the man from the lamppost and y be the length of the shadow as shown in the…

Q: A spotlight on the ground shines on a wall of a building 20 feet away. If a man 6ft tall walks from…

A:

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A:

Q: 25 feet long ladder that was leaning against the wall as shown below. The top end of the ladder was…

A: Let A be the wall, B be the ground and C is the ladder  it is given that the ladder is 25 i.e C = 25…

Q: A helicopter flies parallel to the ground at an altitude of 1/2 kilometer and at a speed of 2…

A: A helicopter flies parallel to the ground at an altitude of 1/2 kilometre and speed 2 kilometre per…

Q: The base of a triangle begins to increase at a rate of 2 inches per minute while the height remains…

A: Consider the following variables, b=base of the triangleh=height of the triangleA=area of the…

Q: Bikers A andB are traveling on perpendicular roads. At the same time, biker A is leaving the…

A:

Q: A helicopter flies parallel to the ground at an altitude of 1/2 kilometer and at a speed of 2…

A: Given,Height of the helicopter from the ground (h) = 1/2 = 0.5 kmSpeed of the helicopter (s) = 2 km…

Q: A car travelling north at 60 mph and a truck travelling east at 45 mph leave an intersection at the…

A:

Q: A streetlight is mounted on the top of a 15-foot tall pole. A 6ft tall woman walks away from the…

A:

Q: A 6​-foot-tall woman walks at 9 ft/s toward a street light that is 24 ft above the ground. What is…

A: The height of the woman is 6 ft. and the height of the street light is 24 ft.The woman walks at 9…

Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the…

A: Given that

Q: A spotlight on the ground shines on a wall 10 m away. If a man 3 m tall walks from the spotlight…

A:

Q: The side of an equilateral triangle decreases at the rate of 1 inch per second. When the area is 100…

A:

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A:

Q: The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute while the area of the…

A: here we have

Q: A boy whose height is 3 feet plays at night with his shadow using flashlight as light source. With…

A:

Q: An LRT train 6 meters above the ground crosses a street at a speed of 9 m/sec, at the instant that a…

A: Given: An LRT train 6 meters above the ground crosses a street at a speed of 9 m/sec, at the instant…

Q: A 6 foot tall man walks away at the rate of 4 feet per second from the base of the street light 12…

A: Let s be the length of the base of the street light to the shadow, x be the length of the base of…

Q: A baseball diamond is a square with side 90 feet. A batter hits the ball and runs to first base with…

A: This question is based on application of  differentiation and Pythagoras theorem, We will solve it…

Q: A man 6 ft tall is walking toward a building at the rate of 5 ft/sec. If there is a light on the…

A: To determine the solution of the given question first form a diagram of the given situation and…

Q: A man 6 feet tall walks at a rate of 2 feet per second away from a light pole that is 16 feet high.…

A: From the figure substitute value of BE, AE, AD and AC in equation (1)

Q: A 7 foot long snake is crawling along the corner of a room. It is moving at a constant 2/3 foot per…

A: Given Length of snake = 7 feet Speed of snake = 23feet per second We need to calculate the rate at…

Q: Two people are at an elevator. At the same time one person starts to walk away from the elevator at…

A: Concept: Pythagorean theorem. X2+y2=z2

Q: An airplane travels 1950 km against the wind in 3 hours and 2340 km with the wind in the same amount…

A: Given Data: The distance covered by the aeroplane while travelling against the wind is: d1=1950 km…

Q: A light sits on the ground 20 feet away from a very tall wall. A 5-foot-tall person walks toward the…

A:

Q: a hot air balloon was rising at a rate of 494 feet per minute convert this speed to meters per…

A: This is simple conversation we will convert both according to given data.

Q: A light is placed on the ground 30 ft from a building. A man 6 ft tall walks from the light toward…

A: This question is based on application of derivative.

Q: A 6-foot-tall man walks away at the rate of 4 ft/sec from the base of a street light 12 feet above…

A: dx/dt​=4.  given.    Distance of tip= y+x…

Q: A plane flying with a constant speed of 14 km/min passes over a ground radar station at an altitude…

A: