A kite 100 ft above the ground moves horizontally at a speed of 14 ft/s. At what rate is the angle (in radians) between the string and the horizontal decreasing when 200 ft of string have been let out? rad/s

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

A:

Q: 1. A balloon, leaving the ground 60 ft from an observer rises 10 fps. How fast is the angle of…

A: Given Data: The horizontal distance between the observer and balloon is: x=60 ft The rate of…

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: The bast x of the right triangie in the figure, increases at a rate of 5 cm/s, while the nei ght…

A:

Q: A building that is 225 feet tall casts a shadow of various lengths as the day goes by. An angle of…

A:

Q: A hot air balloon sing vertically is tracked by an observer located 3 miles from the lift-off point.…

A: let the height at that moment is h miles.

Q: A 13 ft ladder is leaning against a house. The ladder slides down the wall at a rate of 3ft/min. a)…

A: We have to use differentiation to solve the problem

Q: A spy uses a telescope to track a rocket launched vertically from a launching pad 6 km away, as in…

A: Given that

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

A:

Q: A man 6 ft tall is walking at the rate of 3 ft/s toward a streetlight 18 ft high (see Figure 1). (a)…

A: By using similarity rule:

Q: A hot air balloon rising vertically is tracked by an observer located 3 miles from the lift-off…

A:

Q: The radius of a circle is decreasing at a rate of 3 cm/sec. At what rate is the area of the circle…

A: The radius of a circle is decreasing at a rate of 3 cm/sec. At what rate is the area of the circle…

Q: A jet airliner is flying at a constant altitude of 12,000 ft above sea level as it approaches a…

A: The diagram of a jet airliner A traveling at a constant height toward a radar station R is shown…

Q: An airplane is flying in still air with an airspeed of 284 miles per hour. If it is climbing at an…

A: We have to apply the application of trigonometry

Q: A winch of radius 3 ft is used to lift heavy loads. If the winch makes 8 revolutions every 15…

A: Radius = 3ftWinch make 8 revolution in every 15 second.

Q: A wheel is rotating at 7 radians/sec, and the wheel has a 61-inch diameter. To the nearest foot,…

A: Explained below

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A:

Q: A kite 100ft above the ground moves horizontally at a speed of 8ft/s. At what rate is the angle…

A: Given Kite flies at the height of 100ft  horizontal speed of kite is 8ft/s To find the rate of angle…

Q: Find the angular velocity, in radians per minute, associated with the given revolutions per minute…

A: The angular velocity is given by, ω=θt

Q: IfØ is the angle between a line through the origin and the positive x-axis, the area, in cm?, of…

A: Given that: A=3θ+4sinθ+12sin2θ Therefore, rate of change of area charging is as following: dAdt.…

Q: a light is placed on the ground at a distance of 31 feet from the point at which a javelin will be…

A: Distance between light and javelin is AB=31 feet,  At some moment, height of javelin is BC=28 feet…

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 ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A: Given that  Height of ladder=10 ft Let θ be the angle between the ladder and ground. Then cosθ=x10…

Q: The radius of the Ferris wheel circular path is 20fr. If a "ride" of 16 revolutions is made in 3…

A: It is given that the radius of the wheel circular path is 20 ft and the ride is of 16 revolutions…

Q: A 2 m tall woman is running at a rate of 2 m/s when she spots a bird in a tree 6 m off of the…

A:

Q: A kite 100 ft above the ground moves horizontally at a speed of 12 ft/s. At what rate is the angle…

A: Height of kite flying above the ground is 100 ft Horizontal speed of kite is 12 ft/s We have to find…

Q: A man 6 feet tall walks at a rate of 7 feet per second away from a light that is 15 feet above the…

A: The given data is: A man 6 feet tall walks at a rate of 7 feet per second away from a light that is…

Q: On a sunny day, a 50ft tall tree casts a shadow on the ground. As time passes, the sun moves in the…

A: Explained below

Q: A pendulum in a grandfather clock is 6 feet long and swings back and forth along a 8-inch arc.…

A: Let us assume a circle with a radius equal to the pendulum, which is 6 feet long.Thus, the…

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: A man 6 feet tall walks at a rate of 4 ft per second away from a light that is 16 ft above the…

A:

Q: and passes directly over a tracking telescope on the ground. When the angle of elevation is ?/4,…

A:

Q: A 10-foot ladder rests against a wall. It starts sliding down the wall and the top moves at 3 feet…

A:

Q: On a sunny day, a 50ft tall tree casts a shadow on the ground. As time passes, the s moves in the…

A: We will solve the problem

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A: Given that: Distance from the bottom of the wall, x=8 ftLength of ladder, L=10 ftSliding speed of…

Q: A tire is rotating 840 times per min. Through how many degrees does a point on the edge of the tire…

A:

Q: The figure below shows a camera mounted at a point 6000 ft from the base of a rocket launching pad.…

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: To find the speed

Q: A hot air balloon rising vertically is tracked by an observer located 3 miles from the lift-off…

A: dθdt=0.1 rad/min In ∆ABC…

Q: A hot air balloon rising vertically is tracked by an observer located 2 miles from the lift-off…

A:

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A:

Q: The velocity of an object moving along a line is given by v1t2= 20 cos pt (in ft>s). What is the…

A: Consider the given velocity function as vt=20cospt

Q: 9. A balloon, leaving the ground 60 ft. from the observer, rises 10 ft. per sec. How fast is the…

A: 9- Given- The ballon leaving the ground 60ft. from the observer rises 10 feet per second. To find-…

Q: A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the…

A:

Q: Find the angular velocity, in radians per minute, associated with the given revolutions per minute…

A:

Q: a speed of 8 ft/s. At what rate is the angle between the string and the horizontal A kite 100 ft…

A:

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A: In the question it is asked to calculate how fast is ladder approaching bottom when the ladder…

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A:

Q: Find the angular velocity, in radians per minute, associated with the given revolutions per minute…

A: