A winch on a sailboat is 8 in. in diameter and is used to pull in the "sheets" (ropes used to control the corners of a sail). To the nearest degree, how far should the winch be turned to pull in 2 ft of rope?

Q: In sunlight, a vertical yardstick casts a 1ft shadow at the same time that a nearby tree casts a…

A: In the figure attached AB is the tree and CD is the yardstick.Shadow of tree AB is BO = 15 ft and…

Q: A trophy is to be molded out of a metal that costs 3 cents per cubic centimeter. If the shape is a…

A: First the area of the decagon base is to be determined. The perimeter of decagon is 40cm. Hence the…

Q: A 25-foot ladder is placed 7 feet from the wall, as shown. 25 ft. 7 ft. If the top of the ladder…

A: Trigonometry Question

Q: A tree casts a shadow 80 ft long when a vertical rod 6.0 ft high casts a shadow 4.0 ft long. How…

A: Label the diagram as shown below Given: The tree casts a shadow of 80 feet. This implies that the…

Q: A guy wire 25 ft long supports an antenna at a point that is 20 ft above the base of the antenna.…

A: Given

Q: A wire is stretched from the top of an 8 foot pole to a bracket 5 feet from the base of the pole.…

A: Pythagorus theorem: Hypotenuse2=Perpendicular2+Base2

Q: Assuming Earth to be a sphere of radius 4000 miles, how many miles north of the Equator is Miami,…

A: Solution:Radius=4000 milesTo find the length  Miami, Florida north from the equator if it is…

Q: An ice cream cone has a surface area of 306 cm2 and radius of 5 cm what is the slant height, to the…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Find the lateral surface area of the pyramid below if the sides of the base are 6.2 in and the slant…

A: Given  Side of the base =6.2 in  Slant height = 19.3 in

Q: A meteorologist needs to launch a weather balloon that is roughly spherical. How many ft3 of helium…

A:

Q: A 50 foot ladder is set against the side of a house so that it reaches up 48 feet. If Shaniece grabs…

A: A 50 feet ladder set against the side of the house so it reaches up 48 feet. If we make a triangle…

Q: 6 in.-

A:

Q: A trophy is to be molded out of a metal that costs 3 cents per cubic centimeter. If the shape is a…

A: Consider the diagram of the trophy as per given information,

Q: An oil tank in the shape of a sphere has a diameter of 60 ft. How much oil does the tank contain if…

A: Given a spherical tank. Its diameter and depth are given. We need to find how much oil the tank can…

Q: A 12-ft ladder leans against the side of a house. The bottom of the ladder is 6 ft from the side of…

A: Given,         A 12 ft ladder leans against the side of a house. The buttom of the ladder is 6 ft…

Q: A right cone has a base diameter of 8 in. and a volume of 259 cubic inches. Determine the slant…

A: Given the diameter and volume of a right cone. We need to find the slant height.

Q: A car tire has a diameter of 65 cm if the car will rotate once per second how far does the car…

A: 1 minute=60 seconds car travels π D in one rotation.Here D is the diameter

Q: A tree casts a shadow 96 ft long when a vertical rod 9.0 ft high casts a shadow 4.2ft long. How tall…

A: Given, Shadow of the tree = 96 feet Height of the vertical rod = 9 feet Shadow of the rod = 4.2 feet

Q: A 16 foot ladder rests against the side of the house, and the base of the ladder is 4 feet away.…

A:

Q: The cage containing exotic birds is in the shape of a pentagonal prism. If the side length is 17…

A: We will solve the following.

Q: If a sprinkler head rotates and has enough pressure to keep a constant 25-foot spray, what is the…

A: Given that :- Radius of sectorr=25 ft Area of sectorA=?

Q: A 25-foot ladder is placed 7 feet from the wall, as shown. 25 ft. 7 ft. How high up the wall will…

A:

Q: One part of a quartz crystal is a hexagonal prism with a right section of 1.29 sq. in., an edge of…

A: Formula Used: Volume of hexagonal prism = altitude × Area of base Volume of hexagonal prism = Area…

Q: A 3​-ft wide circular track for a camera dolly is set up for a movie scene. The two rails of the…

A: Circles

Q: An 8ft length of 4 inch wide crown molding costs $15. How much will it cost to buy 40 ft of crown…

A:

Q: A basement for a 25 ft by 42 ft house is to be dug at a depth of 8 feet. How many cubic yards of…

A: Given: Size of basement is 25 ft×42 ft and depth of house=8 ft.

Q: Find the lateral area of the square pyramid shown, to the nearest whole number. 38 yd 42 yd Not…

A: Area of square pyramid is given by formula below

Q: A car’s wheels are 28 in. in diameter. How far (in mi.) will the car travel if its wheels revolve…

A: We require the following formula for the given question: Circumference of wheel = Here, d =…

Q: An 11-ft ladder leans against the side of a house. The bottom of the ladder is 7 ft from the side of…

A: AC represents the ladder    point C represents the bottom…

Q: A fence 20 feet tall runs parallel to a tall building at a distance of 4 ft from the building as…

A:

Q: THe radius of a conical tent is 7 m and its height is 10 m .Calculate the length of canvas used in…

A:

Q: A 30 ft. laddder is leaning against a building.  If the base of the latter is 19 ft from the base of…

A:

Q: A circle has a radius of 10 cm. How far from the center is a chord that is 7 cm long?

A:

Q: Suppose a water tank in the shape of a right circular cylinder is thirty feet long and eight feet in…

A:

Q: If a sprinkler head rotates 180° and has enough pressure to keep a constant 25-foot spray, what is…

A:

Q: Find the lateral area of this square based pyramid. 10ft 10分 [? ]ft?

A:

Q: An airplane wing casts a shadow on the ramp that is 12 ft. wide at one end, 7 ft. wide at the other…

A:

Q: A boat is 6 m below the level of a pier and 12 m from the pier as measured 12 m across the water.…

A: Consider the vertical distance between the pier and boat be 6 m and horizontal distance in boat and…

Q: A building casts a shadow 26 ft long. At the same time, the shadow cast by a 6 ft person is  1 3…

A: Consider the given informationBuilding shadow = 26 ftPerson height = 6 ftPerson shadow height = 134…

Q: A jacuzzi is in the shape of a right rectangular prism its length is 6 ft., its width is 8 ft., and…

A: Given : A jacuzzi is in the shape of a right rectangular prism, with dimensions: Length (L) = 6 ft.…

Q: In building a garage onto his house, Gene wants to use a sloped 12-ft roof to cover an expanse that…

A:

Q: A rope that is 29 ft. long connects the top of a pole To the ground. The rock touches the ground 21…

A:

Q: A building 50 ft high casts a 75 ft shadow. sarah cast a 6ft shadow. How tall is sarah in feet?

A: We will use the concept of similarity of two triangles and the fact that the sides of two similar…

Q: A 25-foot ladder is placed 7 feet from the wall, as shown. 25 ft. 7 ft.

A: Figure is given by

Q: A meteorologist measured the eyes of hurricanes to be 13 to 18 miles in diameter during one season.…

A:

Q: A carpenter is inserting a 3-foot brace between two beams as shown in the figure. How far from the…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A 46 ft wire is used to brace a utility pole. If the wire is attached 3 ft from the top of the 39 ft…

A: