Points A and B are separated by a lake. To find the distance between them a surveyor locates a point C on land such that

Q: One of the angles of an isosceles triangle is 120° , the radius of the inscribed circle is 3 . How…

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Q: A flagpole casts a shadow that is 50 feet long. At the same time, a woman standing nearby who is…

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Q: Bell Canada must run a telephone line between two poles at opposite ends of a lake as shown below.…

A: As given shape form a right triangle with two of its sides are given so use Pythagoras Theorem for…

Q: The distance between City A and City B is 250 miles. A length of 1.5 feet represents this distance…

A: Map

Q: the sum of a triangle in space (3D) exceeding 180 degrees

A: The word "sphere" refers only to the two -dimensional surface . The other terms like "ball" or…

Q: The hypotenuse of an isosceles right triangle is 3 centimeters longer than either of its legs. Find…

A: isosceles right angled trianglelet hypotenuse length be "h"let length of each leg be xh=x+3Using…

Q: A rectangle is drawn so the width is 3 inches longer than the height. If the rectangle's diagonal…

A:

Q: A rectangle is drawn so the width is 2 inches longer than the height. If the rectangle's diagonal…

A: Pythagorean theorem width2+height2=diagonal2

Q: A rectangular lot having an area of 5000 sq. meters is to be fenced on three sides. Find the minimum…

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Q: A right triangle has a hypotenuse of 15 cm. What are the possible lengths for the two legs of the…

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Q: minute hand of a clock is 5 inches long. How far does the tip of the minute hand move in 25…

A: Given query is to find the distance moved by top of the minute hand in 25 min.

Q: you have 60  meters of fencing and want to enclose a rectangular area up against a long straight…

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Q: The cost for carpeting the floor of a room is Php 520. If the carpeting cost Php 26 per sq. m. and…

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Q: A tile setter plans to use 5 1/2 inch square tiles along the base of a room that is 7 feet long.…

A:

Q: rectangular open tank has a total surface area of 720 square cm. If the ratio of the length, width…

A: Given ratio of length , width and height  = 1:2:3   Let length of tank be L = x So , width W = 2x…

Q: From her house, Maddie could drive due north to get to her parents' house or she could drive due…

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Q: One end of a cable is attached to the top of a flagpole and the other  end is attached 6 feet away…

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Q: The measure of an exterior angle of a triangle is equal to the sum of the measures of the two…

A: Proved that. The measure of an exterior angle of a triangle is equal to the sum of the measures of…

Q: A piece of wire was cut into 2 equal pieces, each measuring 156 cm. One-piece was used to form a…

A: The length of each piece of the wire is 156 cm. One piece is bent in the form of a rectangle other…

Q: If a shadow of a mango tree is 55 m long and a shadow of a pole is 70 m tall is 175 long. How tall…

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Q: A city planner in Phoenix, Arizona wants make sure that the distance between a proposed skyscraper…

A: We have to find the distance BC. Extend BC to D such that AD is perpendicular to BD All measurements…

Q: A map is drawn to scale so that a length of 1 centimeter on the map represents an actual distance of…

A: A map is drawn to scale so that a length of 1 centimeter on the map represents an actual distance of…

Q: An observation aircraft flying at a height of 12 km has detected a Brazilian ship at a distance of…

A: We can represent positions of each ship and plane using points as in the triangle below. The…

Q: In rectangle RSTW, the length of top enclose R W end enclose is 7 more than the length of SR, and…

A: Let the length of  SR be x. Then, the length of RW=x+7 and RT=x+8. Sketch the figure representing…

Q: The longest side of a triangle is 12 more than 3 times the longest side of a similar triangle. If…

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Q: aced on a board so that the distance from each end to a peg equals the distance between any two…

A: Let the distance between two pegs = x feet It is given that;  the distance from each end to a peg…

Q: certain triangle has a perimeter of 3082 mi. The shortest side measures 73 mi less than the middle​…

A: The perimeter of the triangle is 3082 mi. Let x be the middle side of the triangle. This implies…

Q: When two trains P & Q running in opposite direction crosses each other in 10 seconds and when…

A: Introduction :

Q: The lengths of two adjacent sides of rectangular quilt are 180 cm and 244 cm. Find the units for the…

A: Given,          The lengths of two adjacent sides of rectangular quilt are 180 cm and 244 cm.

Q: A line-marking machine lays down lime powder to mark both foul lines on a baseball field. If each…

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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…

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Q: Find the total surface area, the dihedral angle formed by any two adjacent faces, and the volume of…

A: We are asked to find the total surface area of a regular dodecahedron with sides 10m. The formula to…

Q: An 8-foot tree is to be supported by two wires that extend from the top of the tree to a point on…

A: →Try do draw the diagram for the given problem.→In right-angled triangle,         Pythagoras theorem…

Q: 2) and the height is 5 inches. Find the volume of the cake if the radius is 8 inches

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: A 12-meter string is cut into two pieces so that x meters will be used to form a circle and the…

A:

Q: The diameters of two spheres are in the ratio 2 : 3 and the sum of their volume is 1260 m3 .…

A:

Q: A rectangular field is fenced off, an existing wall being used as one side. If the area of the field…

A: Suppose that the length of field is “L”, and width of field is “W” then, The total area of the is…

Q: A parcel delivery service will deliver a package only if the length plus girth (distance) around…

A: Given problem is :

Q: Suppose an angle has a measure of 125 degrees. If a circle is centered at the vertex of the angle,…

A:

Q: A city planner in Phoenix, Arizona wants make sure that the distance between a proposed skyscraper…

A: Topic- trigonometry ratio

Q: A 20 ft-long ladder is being used to repair windows on the second floor of a house. If safety…

A: We have to find the height

Q: To approach the runway, a pilot of a small plane must begin a 6° descent starting from a height of…

A: Given: Height of the plane=1297 ft. Let the distance of the airplane from the runway be: x ft.

Q: Find the area of the trapezoid in inches, if the lengths of the parallel bases are 10 inches and 12…

A:

Q: a vertical 1-meter stick casts a shadow of 0.4 meters. if a tree casts a shadow of 12 meters at the…

A: To find: x AC = x = Height of the tree  DE       = 1 m long stick   BE       = 0.4m BC       =…

Q: A space plane skims the edge of space at 4000 miles per hour. Neglecting​ altitude, if the…

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

A:

Q: A triangular parcel of land has sides of lengths 900 feet, 430 feet and 1001 feet. a) What is the…

A: Given query is to find are of parcel and its cost.

Q: A city planner in Phoenix, Arizona wants make sure that the distance between a proposed skyscraper…

A: Consider the provided question, According to the given question the provided diagram is represented…

Q: A triangular parcel of land has sides of lengths 620 feet, 430 feet and 530 feet. a) What is the…

A:

Q: A rectangle has length less than 15cm what can you say about its width if the rectangle has a…

A: given datalehgth(L) <15 cmperimeter(P) = 40 cmlet the width of the rectangle be 'W '

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.