At a point on the ground 24ft from the base of a tree the distance to the top of the tree is 4 ft more than 3 times the height of the tree. Find the height

Q: the area of a triangle is equal to the length of the base times the height divided by 2. if the area…

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Q: A ladder is leaning against a building so that the distance from the ground to the top of the ladder…

A: A ladder is leaning against a building so that the distance from the ground to the top of the ladder…

Q: The length of one leg of a right triangle is 1 m shorter than the other. If the hypotenuse is 5m…

A: Given, the length of one leg of a right triangle is 1 m shorter than the other and  the hypotenuse…

Q: A fence 6 feet tall runs parallel to a tall building at a distance of 3 feet from the building. What…

A: We know about Pythagoras theorem     Hypnosis ²= base ² + perpendicular ²

Q: A fence 6 feet tall runs parallel to a tall building at a distance of 3 feet from the building. What…

A: Given a fence 6 feet tall runs parallel to a tall building at a distance of 3 feet from the…

Q: The diagonal of the floor of a rectangle office cubicle is 2ft longet than the length of the cubicle…

A: First we have to draw the rectangle with diagonal as per question Represent the length, width and…

Q: One side of a rectangular yard is bounded by the side of a house. The other three sides are to be…

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Q: A wooden beam needs to be carried horizontally around the corner of a hallway (diagram provided on…

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Q: The area of the opening of a rectangular window is to be 143 square feet. If the length is to be 2…

A: Let w be the width of the window. So, l=w+2 will be its length.

Q: At a construction site, a worker raises an 8-ft sheet of plywood to a platform by sliding the sheet…

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Q: One side of a rectangular yard is bounded by the side of a house. The other three sides are to be…

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Q: The bottom of a ladder must be placed 3 feet from a wall. The ladder is 12 feet long. How far above…

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Q: A fishing line 5 ft long is cut into two pieces, one shorter than the other. Express the length of…

A: Given,A fishing line 5 ft long is cut into two pieces, one shorter than the other.Let the length of…

Q: An 18-foot ladder leans against the wall of a building. The base of the ladder is 9 feet from the…

A:

Q: The shorter leg of a right triangle is 7 ft shorter than the longer leg. The hypotenuse is 7 ft…

A: Let the longer leg of triangle be x. Shorter leg of triangle is 7 ft shorter than the longer leg. So…

Q: The area of a square is equal numerically to 14 more than 5 times the length of a side. Find the…

A:

Q: A fence 6 feet tall runs parallel to a tall building at a distance of 3 feet from the building. What…

A:

Q: A fence 5 feet tall runs parallel to a tall building at a distance of 2 feet from the building. the…

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Q: Calculate the height that we can reach with a 3m ladder leaning against a wall if the bottom of the…

A: First we consider a triangle ABC, in which the height of AB = a, BC = 3m and AC = 7 cm So, the…

Q: At a point on the ground 12 ft from the base of a​ tree, the distance to the top of the tree is 3 ft…

A:

Q: One side of a rectangular yard is bounded by the side of a house. The other three sides are to be…

A: Let the length of the fence opposite to the house is = x ft So, the length of the other two sides=…

Q: The width of a rectangle is 9 less than twice its length. If the area of the rectangle is 30 cm²,…

A: Form the given area then solve the quadratic equations and find the length and width, Then find the…

Q: at a point on the ground 70 ft from the base of a tree, the distance to the top of the tree is 2ft…

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Q: If the raindrop is initially 500 m above the ground, how long does it take to fall? Find the

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Q: The width of a rectangle is 4 less than twice its length. If the area of the rectangle is 95 cm²,…

A:

Q: A fishing line 6 ft long is cut into two pieces, one shorter than the other. Express the length of…

A: Given,A fishing line 6 ft long is cut into two pieces, one shorter than the other.

Q: The longer leg of a right triangle is 1 ft longer than the shorter leg. The hypotenuse is 9 ft…

A:

Q: One side of a rectangular yard is bounded by the side of a house. The other three sides are to be…

A: topic - linear equation in one variable

Q: The length of a rectangle is 5 m longer than its width and the area of the rectangle is 320 m² .…

A: The length of rectangle is 5m longer than its width and the area of the rectangle is 320m2.

Q: An oriental rug is 5 feet longer than it is wide. If the diagonal of the rug is 12 feet, find its…

A: Rectangle property

Q: The top and bottom margins of a poster are 6 cm and the side margins are each 14 cm. If the area of…

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Q: A ladder is leaning against a building so that the distance from the ground to the top of the ladder…

A:

Q: A fence 4 feet tall runs parallel to a tall building at a distance of 6 feet from the building. What…

A: since we have given tall building and parallel tall fence; the figure of above problem is five…

Q: A fence 8 feet tall runs parallel to a tall building at a distance of 2 feet from the building. What…

A:

Q: A rectangular parcel of land is 50 ft wide. The length of a diagonal between opposite corners is 10…

A: Given that : A rectangular parcel of land is 50 ft wide. ⇒ Width = W = 50 ft  The length of a…

Q: A ladder is resting against a wall. The top of the ladder touches the wall at a height of 12 ft.…

A: Given: -

Q: One side of a rectangular yard is bounded by the side of a house. The other three sides are to be…

A: We can find the dimension of the yard as below.

Q: The length of a rectangle is 4 m longer than its width. If the perimeter of the rectangle is 32 m,…

A:

Q: The area of a rectangle is 27 ft, and the length of the rectangle is 3 ft less than twice the width.…

A: Given:-Area of rectangle=27 ft2length of rectangle is 3 ft less than twice the widthi.e.…

Q: The area of a rectangle is 65 ft, and the length of the rectangle is 3 ft less than twice the width.…

A: Let width of the rectangle = x ft So, according to the problem, length of the rectangle = 2×width-3…

Q: The top and bottom margins of a poster are each 6 cm and the side margins are each 4 cm. If the area…

A: Here we find out the area of poster including margin

Q: The distance that a person can see to the horizon on a clear day from a point above the surface of…

A: Given : d = 64 Height If a person 64m above the surface of the Earth can see 12km to the horizon,…

Q: A rectangular parcel of land is 180 ft wide. The length of a diagonal between opposite corners is 60…

A: Given information:A rectangular parcel of land is 180 ft wide. The length of a diagonal between…

Q: A rectangular garden whose length is 4ft longer than its width has an area of 65 sqft. Find the…

A: Given:Area of the rectangular garden is 65 square feet.

Q: A ladder is leaning against a building. The distance from the bottom of the ladder to the building…

A:

Q: The width of a rectangle is 4 less than twice its length. If the area of the rectangle is 28 cm²,…

A: The area of the rectangle is Area = 28 cm2 The width of the rectangle is 4 less than the twice its…

Q: The width of a rectangle is 4 less than twice its length. If the area of the rectangle is 162 cm2,…

A: Let l be the length of the rectangle. Since its width is 4 less than twice its length, we have the…

Q: A rectangular garden is 10 ft longer than it is wide. Its area is 875 ft 2 . What are its…

A: Let x = the width of the plotx + 10 = length of the plotThen the area is x(x + 10)

Q: At a point on the ground 15 ft from the base of a​ tree, the distance to the top of the tree is 1 ft…

A:

Q: A flagpole is secured on opposite sides by two guy wires, each of which is 5 ft longer than the…

A: Let the height of the flagpole be x ft. Then the given data can be shown in the following…