A certain clock has an hour hand of length 4 in and a minute hand of length 5 in. In inches per minute, how fast is the distance between the tips of the two hands changing at exactly 4:00? [Use the law of cosines.]

Q: A hot air ballon rises vertically upwards from a distance of 170m away. If the angle 0 at which you…

A: To Determine: how fast is the ballon rising when θ=π6 Given: A hot air balloon rises vertically…

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

A:

Q: 1. A light hangs 15ft above a horizontal path and a man 6ft tall is walking away at 5 ft/sec. i) How…

A: According to bartleby guidelines when student post more than one question then expert must have to…

Q: A ladder 17 meters long is leaning against a wall. If the bottom of the ladder is being pushed…

A:

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

A:

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: A street light is at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: A street light is at the top of a 17 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A: Given that A street light is at the top of a 17ft tall pole.  A woman 6ft tall walks away from the…

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

A:

Q: Assume gravity is 32 ft/s? and no external forces (ex: wind resistance). If you Jump off a 34 ft…

A:

Q: A boat is being pulled with a rope towards a dock that is 10 ft above the water, as shown in the…

A: Let the distance of the boat= x ft y=length of the rope.  So,  given that dy/dt= 1.5 ft/min We have…

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: A 7,453 newton car is initially at rest. How much force (in Newton) is required to move the car by…

A:

Q: A street light is at the top of a 20 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

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: 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…

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Q: A street light is at the top of a 17 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

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: Topic:- algebra

Q: 17. A boat is being pulled toward a dock as shown in the figure. If the rope is being pulled in at 3…

A: Follow the procedure given below.

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: A boat is pulled toward a dock by means of a rope wound on a drum that is located 3 ft above the bow…

A: a rough sketch of the problem will be as follows:

Q: A street light is at the top of a 13 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: A kite 100 ft above the ground moves horizontally at a speed of 10 ft/s. At what rate is the angle…

A:

Q: A street light is at the top of a 18 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: A street light is at the top of a 13 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A: From the given problem: v=dsdt=8ft/sec. Let, Distance,  Woman to pole→SShadow to pole→x  So, the…

Q: A lighthouse, L, is on an island 8 mi away from the closest point, P, on the beach. If the…

A: Given: A lighthouse rotates clockwise at a constant rate of 17 revolutions/min.

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: A winch is on top of a pole that is 25 ft high and it is using a rope to pull object A. The rope is…

A: Let the distance of the object from the wall is x. the length of the rope is L and the length of the…

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: A lighthouse, L, is on an island 4 mi away from the closest point, P, on the beach. If the…

A:

Q: . A 13-ft ladder is leaning against a house when its base is 12 ft from the house, the base is…

A:

Q: s. How fast (in knots) is the distance between the ships changing at 4 PM? (Note

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Q: If the base h of a triangle is increasing at a rate of 3 inches per minute while its height h is…

A: Area of a triangle of base b and height h is given as, A=12bh The derivative of area with respect to…

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

A:

Q: A street light is at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: A ship, moving 6 km per hour, sails north for 2 hours, then turns east. If a searchlight at the…

A: We can find the answer as below.

Q: A street light is at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

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

A: Solve the given problem.

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

A: Given information:   Height of the pole AC= 15ft and DE = 6ft is the height of the man and length of…

Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

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 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 trough is 12 ft long and its ends have the shape of isosceles triangles that are 2 ft across at…

A: Let the volume of the water in the trough at time be V. The rate of change of V is,

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: find the rate at which the area is increasing

A: Given an isoscles triangle has a constant length of 4 ft. Angle Ø between these sides increases at…

Q: The base x of the right triangle in the figure increases at a rate of 6 cm/s, while the height remai

A: In this question we will use basic of calculus i.e application of differentiation. We will first…

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:

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:

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.