4. A man 6 ft tall walks away from a lamp post 16 ft high at the rate of 5 miles per hour. How fast does the end of his shadow move?

Q: 3. A light is hung 15 ft above a straight horizontal path. If a man 2 ft tall is walking away from…

A:

Q: A lamp post 3 m high is 6m from the wall. A man 2 m tall is walking directly from the post toward…

A:

Q: A trough is 10 ft long and its ends have the shape of isosceles triangles that are 2 ft across at…

A:

Q: 4. A boy is flying a kite at a height 150 ft. If the kite moves horizontally away from the boy at…

A: Given query is to find the rate of change of length of string.

Q: 4. A car brakes with constant deceleration of 18 ft / s² producing skid marks that measure 306 feet…

A:

Q: 4. The distance travelled by a man driving at the rate of 60 kph

A:

Q: In an isosceles right triangle, the hypotenuse is increasing at a rate of 0.1 ft/s. When the area of…

A:

Q: A rabbit is traveling at a pace of 250 meters per hour. How fast is the rabbit  traveling in…

A: Given:    Distance = 250 meter per hour

Q: A kite 160 feet above the ground moves in a direction parallel to the ground at the rate of 5 feet…

A: Let, x= the horizontal distance of the kite y=the length of the string Given that dx/dt=5 ft/sec  We…

Q: Each side of a square is increasing at a rate of 6 cm/s . Atwhat rate is the area of the square…

A:

Q: a)How quickly is the water leaving the barrel over the first two seconds? b)Will the water drain…

A: The solution is given below in the next step:

Q: Two cars start moving from the same point. One travels south at 24 mi/h and the other travels west…

A:

Q: 2. A rope is attached to a boat at water level, and a man on the dock is pulling on the rope at the…

A: Draw the given situation at any time t then using Pythagoras theorem and application of derivative.…

Q: 4. Shirogane, who is 175 cm tall, is walking at a rate of 3 meters per second towards a lamppost…

A:

Q: 4. What constant acceleration is required to increase the speed of a car from 30 mi/h to 50 mi/h in…

A:

Q: 7. A 6-foot-tall man walks away at the rate of 4 ft/sec from the base of a street light 12 feet…

A: From the question, Height of the man is 6 ft. Height of the street is 12 ft. y=The length of the…

Q: A water trough Is 15 feet long, and its cross section Is an equilateral triangle with sides 4 feet…

A: Answer is mentioned below

Q: If the diagonal of a cube is increasing at a rate of 3 cubic inches per minute, how fast (in…

A: We will find the rate of increase of side of cube.

Q: A lady 1.65 meter tall walks towards a lamp post 2.65 meters high at a speed of 1.5 m/s. How fast…

A: Given : A lady 1.65 meter tall walks towards a lamp post 2.65 meters high at a speed of 1.5m/s.…

Q: - An object travels 8 miles in 20 minutes at a constant speed. What is the obiect's speed in miles…

A: Object travels 8 miles in 20 mins 20 mins = 20/60 hrs = 1/3 hrs Then speed = dist / time

Q: A man drives at a rate of 25 kph towards the foot of an 8-m tall monument. At what rate is he…

A: Topic = Algebra

Q: 70. BIO Gulls are often observed dropping clams and other shellfish from a height to the rocks…

A:

Q: 36. One end of a 13-foot ladder is on the ground. and the other end rest against the side of the…

A:

Q: A train, starting at noon, travels north at 40 ml per hr. Another train, starting from the same…

A:

Q: 9. A man 6 ft tall walks away from a lamp post 16 ft high at the rate of 5 mi/hr. How fast does the…

A:

Q: 8. A street light hangs 24 ft. above the sidewalk. If a man 6 ft. tall walks away from the light at…

A: We can find the required as answer as below.

Q: If the volume of a cube is increasing at a rate of 24 in'/min and each edge is increasing at 2…

A: The volume of cube is given by V=a3 where a edge of cube. Given that volume of cube increasing at a…

Q: 3. A man rows downstream at the rate of 5 mph and upstream at the rate of 2 mph. How far downstream…

A: Let the man goes x miles downstream. Assume, the man takes t1 hour to go downstream and t2 hour to…

Q: 2. A man walks across a bridge at the rate of 5 ft/s as a boat passes directly beneath him at10…

A: From the given data , Man walks across a bridge in one second AC=5 feet and boat passes in one…

Q: 4. A basketball player is 7 feet tall walking away from a light that is 28 feet above the ground at…

A:

Q: 2) A person is standing 350 feet away from a model rocket that is fired straight up into the air at…

A:

Q: A simple pendulum, consisting of a mass of 8.237 kg, is attached to the end of a 2.68 m length of…

A: To calculate the speed of the mass (in m/s) at the bottom of the swing. Given that: Mass = 8.237 kg…

Q: 5. A baseball diamond has the shape of a square with sides 90 ft long. A player 60 ft from second…

A:

Q: If a car is traveling at 89.7mph, how fast is that in mm/s?

A:

Q: 4. A car travelling north at 60 mph and a truck travelling east at 45 mph leave an intersection at…

A: Let the distance travelled by car travelling at 45 mph from intersection be x at any point of time.…

Q: Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square…

A: Given,                     Each side of a square is increasing at a rate of 6 cm/s. The area of the…

Q: A baseball diamond has the shape of a square with sides 90 ft long, as shown. A player is running…

A: A baseball diamond has the shape of a square with sides 90 feet long. A player running from second…

Q: 1. How fast is the water level rising in a rectangular fish tank whose base is 20 ft² if the tank is…

A: Give: Area of base is A=20 ft2 Rate with which tank is filling dVdt=0.5 ft3/min. Volume of a…

Q: 4. A man 6 ft tall walks away from a lamp post 16 ft high at the rate of 5 miles per hour. How fast…

A: 4- Given- A man 6 ft tall walks away from the lampost 16 ft. high at the rate of 5 miles per hour.…

Q: 6. What is the rate at which the two hands of the clock are separating when the time is two o'clock…

A:

Q: 29. A kite 100 feet above the ground is being blown away from the person holding its string. It…

A: Solution Let initially  kite was at position A while person holding Kite was at position O such that…

Q: The number of germs in a certain culture increases at a rate proportionai to the number present. If…

A: Given that, the number of germs in a certain culture increases at a rate proportional to the number…

Q: 3 A cube of ice is getting larger, increasing its volume by 30cm per minute. How fast are the side…

A:

Q: How many kilometers can a train moving at an average velocity of 25 m/s southwest be displaced in 2…

A: Given, average velocity of train = 25 m/s 2 hours = 2x60x60 = 7200 seconds

Q: 6. Shan, who is 2 meters tall, is approaching a post that holds a lamp 6 meters above the ground. If…

A:

Q: 6) A light is 20 meters above a straight horizontal path. If a man 1.65 meters tall is walking away…

A: Given: Height of light is 20 meter. Height of man is 1.65 meters. Rate with which man is walking is…

Q: 7, If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate at…

A:

Q: A boat takes 2/3 as much time to travel downstream from C to D, as to return, If the rate of the…

A: A boat takes 2/3 as much time to travel downstream from C to D, as to return. If the rate of the…

Q: A and B start toward each other at the same time from points 150 miles apart. If A went at the rate…

A: