Complete each related rate problem. c) A balloon is rising at a constant speed of 6 ft/sec. A boy is cycling along a straight road at a speed of 15 ft/sec. When he passes under the balloon, it is 45 ft above him. How fast is the distance between the boy and the balloon increasing 3 seconds later?

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.

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A:

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Q: A street light is at the top of a 19 ft tall pole. A woman 6 ft tall walks away from the pole with a…

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Q: A neighborhood carnival has a merrygo-round whose radius is 25 feet.If the time for one revolution…

A: Since,it is known that the speed can be calculated by using the formula speed=Radius×Angular…

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Q: A fifteen-foot ladder leans against a wall and slides down, with the base of the ladder observed to…

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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 man 6 feet tall walks at a rate of 4 feet per second away from a light that is 15 feet above the…

A: Please see the explanation below

Q: At noon, ship A is 180 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

A: Given that  At noon, ship A is 180 km west of ship B. Ship A is sailing east at 40 km/h and ship B…

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A: Concept: The term "square pyramid" refers to a three-dimensional geometric form with a square base…

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A: Explained below

Q: The lengths of the edges of a cube are increasing at a rate of 9 ft/min. At what rate is the surface…

A: Total surface area of cube S = 6x2 Where x is length of the side of cube. we have given x = 19 ft.…

Q: At noon, ship A is sailing north at a speed of 7mph, at the same time ship B, 5 miles west of ship…

A: Given, at noon, Ship A is sailing north at a speed of 7mph. At the same time, Ship B, which is 5…

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

A: It is height and distance problem.

Q: If you average 30 mi/h on a 150-mi trip and then return over the same 150 mi at the rate of 50 mi/h,…

A: In this question we have to find the Average speed for the trip. To calculate average speed  Average…

Q: A kite 50 ft above the ground is moving horizontally at a rate of 4 ft/s. At what rate is the string…

A: We will be using the trigonometric ratios relating the sides of the triangle formed by strings and…

Q: The speed of a moving sidewalk at an airport is 2ft/sec. A person can walk 45ft forward on the…

A: Let his speed on a non-moving sidewalk is = x ft/sec Given the speed of the moving sidewalk = 2…

Q: A street light is at the top of a 12 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

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

A:

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

A: Given query is to find speed of the tip of man's shadow.

Q: A boat is pulled into a dock by means of a rope attached to a pulley on the dock. The rope is…

A: Given data:   The given height of the pulley is y=7 ft. The given rate at which rope pulled is…

Q: A street light is at the top of a 19 ft tall pole. A woman 6 ft tall walks away from the pole with a…

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: Solve the following problem. Show details and illustrations. A 6-foot-tall man walks away at the…

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

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Q: 3. Refer to the given figure: A cross-country runner jogs at a rate of 15 feet per second. If she…

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

A: Calculation of rate by which shadows lengthening.

Q: A rope is attached to a boat at water level, and a personon a dock is pulling the rope at the rate…

A: Let's find speed of boat.

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A: How far did the adults go? How long did that take?

Q: Each side of a square is increasing at the rate of 8 cm/sec. At what rate is the area of the square…

A: We have to find the increase of area

Q: At noon, ship A is 180 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Please show illustration if possible. A boy is flying a kite at a height of 150 ft. If the kite…

A:

Q: A rope is attached to the bow of a sailboat coming in for the evening. Assume that the rope is drawn…

A: Given: The rope is drawn in over a pulley 5 feet higher than the bow at the rate of 2 feet per…

Q: A boat moves at a rate of 13 mph in still water. If the river's current flows at a rate of 3mph, how…

A: given that: A boat moves at a rate of 13 mph in still water. the river's current flows at a rate of…

Q: A man 6 feet tall walks at a rate of 3 feet per second away from a light that is 15 feet above the…

A:

Q: two cars live in town and travel in opposite directions. one car travels at the rate of 45 kph and…

A: Given One car speed = 45 kphother car speed = 55kph

Q: In a AABC, the sides AB and AC are 12 and 15 units long, respectively. the ZA changes at a rate of…

A: Note :- the all options are given wrong. I am solving it in proper way and giving you right…

Q: A street light is at the top of a 14 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A: Firstly let us draw the diagram for given information as shown below and then find the how fast the…

Q: 3. How many more revolutions must the 20-inch bicycle complete to have the same linear velocity as…

A: Solution:

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

A:

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

A:

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

A:

Q: Two people start from the same point. One walks east at3 mi/h and the other walks northeast at 2…

A:

Q: A street light is at the top of a 15 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A: Heights and distance

Q: A kite is 30 ft. high and is moving horizontally at a rate of 10 ft./min. At what rate is the string…

A: Calculate the rate in the following way:-

Q: c) Ship A is 15 miles east of P and moving west at 20 mi/hr; ship B is 60 miles south of P and…

A: (In this figure, P is the point mentioned in the question, which is at some distance from ship A and…

Q: In this calculus question, there is a shadow length question that deals with a 6 foot man walking at…

A: Follow the procedure given below.

Q: A streetlight is at the top of a 10 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A: