1. A spotlight at a building corridor is fastened to a wall 8 m above the floor. A lady 1.75 m tall moves away from the wall at a speed of 0.75m/s. a.) at what rate is the length of her shadow increasing? b.) at what speed is the tip of her shadow moving?

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

A: Given that dxdt=3 ft/slet height of streetlight = AB=18 ftheight of man DE =6 ft b.  dydtin ∆ABC…

Q: A 10-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

A: Given that, the length of the ladder is 10 ft and distance between the wall and ladder in base is 6…

Q: O. At what rate is the vertex angle of a right circular cone changing when the radius is 3 ft and…

A:

Q: A kite is flying at a height of 40 ft. A boy is flying it so that it is moving horizontally at a…

A: Given: Kite is moving horizontally at a rate of 3 ft per sec. To determine: The rate at which the…

Q: 8.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

A: We have to find the rate of change of angle.

Q: A helicopter takes o from a point 80 m away from an observerlocated on the ground, and rises…

A: Thus when the helicopter is 60 m above the ground the elevation angle of theobserver’s line of sight…

Q: A man starts walking north at 2 feet per second from a point P. A minute later a woman starts…

A:

Q: A ball is thrown vertically upwards with a velocity of 48 ft/s from the top of a building 35 ft…

A: Given that,

Q: A rod of length 2m is connected at its ends to perpendicular sliders so that moving one end also…

A: Let y m be the height of the slider and x m be the foot of the rod away from the slider. Then,  by…

Q: A 10​-ftladder is leaning against a house when its base starts to slide away. By the time the base…

A:

Q: A 13-foot ladder is leaning against a house when its base starts to slide away. By the time the…

A:

Q: 1. A 15-meter ladder is resting against a vertical wall. If the bottom of the ladder is being pushed…

A: given: A 15-meter ladder is resting against a vertical wall. the bottom of the ladder is being…

Q: A 25-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

A:

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

A:

Q: 3. A ladder 14 ft long is leaning against a fence 8 ft high, with the upper end projecting over the…

A: Find the changing rate of anlge

Q: 20. A kite 100 ft above the ground moves horizontally at a speed of 8 ft/s. At what rate is the…

A: Given : A kite is 100 ft above the ground moves horizontally at a speed of  8 ft/s. To find : At…

Q: A street light is at the top of a 29 ft pole. A 4 ft tall glri walks along a straight path away from…

A:

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

A:

Q: A conical tank with an upper radius of 4 m and a height of 5 m drains into a cylindrical tank with a…

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: In the figure, x is the distance of pole from the man at the ground level. s is the length of the…

Q: 21. In basebalI, a batter stands 2 feet from home plate as a pitch is thrown with a velocity of 130…

A: Answer is mentioned below

Q: 21. For the camera and rocket shown in Figure 3.4.5, at what rate is the camera-to-rocket distance…

A: Given that the distance between camera and launching pad is 3000 ft., the distance between launching…

Q: How fast is the bicycle traveling in miles per​ hour? (Hint: 5280 ft=1 mi)

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: Given  Height of the man =6ft  A street light is mounted at the top of a 15-ft-tall pole Let the…

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: 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: 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 spotlight at a building corridor is fastened to a wall 8 m above the floor . A lady 1.75 m tall…

A: Refer the diagram below. Let x be the distance between the spotlight and the lady and y be the…

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: Please refer the attached image for complete solution. THANK YOU !

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

A:

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

A:

Q: A light is on the top of a 12 ft tall pole and a 5 ft 6 in tall person is waking away from the pole…

A: Given that:Height of the poll is 12 ft and height of the person is 5 ft 6 in or 5.5 ft.Let x and y…

Q: A baseball diamond is a square with sides of length 90 ft. A batter hits the ball and runs toward…

A:

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

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

Q: A kite, 120 ft above the ground, is moving horizontally at the rate of 10 ft/sec. At what rate is…

A:

Q: The fixed sides of an isosceles triangle are of length 6 cm. (See the figure.) If the sides slide…

A: Given: The fixed sides of an isosceles triangle are of length 6 cm and the sides slide outward at a…

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

A:

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

A: Diagram of the given question will be as following x is the distance of the man from pole y is the…

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

A: Let x= horizontal distance L= length of string,  Then a rough sketch of the problem is as follows:

Q: 7. A vertical cylinder is leaking water at a rate of 1 ft'/sec. If the cylinder has a height of 10…

A: To find the rate of change of height of water changing

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. How fast is the top of the ladder sliding down the wall when the base of the ladder is 12 feet…

A: It is given that the length of ladder is 13 foot which acts as the hypotenuse of the right angled…

Q: 1. A 13-ft ladder is leaning against a house when its base is being pushed towards the wall. By the…

A:

Q: 2. A woman standing on a cliff is watching a motor boat through a telescope as the boat approaches…

A:

Q: A stone is dropped into a quiet lake and waves move in the form of circles at a speed of 4 cm/ sec.…

A: Please see the answer in Step 2.

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: g.) A ladder 14 ft long is leaning against a fence 8 ft high with the upper end projecting over the…

A:

Q: A ball is thrown vertically upwards with a velocity of 48 ft/s from the top of a building 35 ft…

A: topic-equations