A developer has a triangular lot at the intersection of two streets. The streets meet at an angle of 72°, and the lot has 300 feet of frontage along one street and 416 feet of frontage along the other street. Find the length of the third side of the lot.

Q: A man standing near a radio station antenna observes that the angle of elevation to the top of the…

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Q: A five foot tall woman is standing 18 feet from a statue. She must look up at an angle of 50 degrees…

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Q: A cable from the top of a 100 foot telephone tower makes a 50° angle with the ground. How long is…

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Q: A dog looks up at a cat who has climbed a 29 foot tree. If the dog is 59 feet from the base of the…

A: The relation between the angles of a triangle and the sides of the triangle is given by the…

Q: Find the point on the terminal side of a 210 degree angle drawn in standard position whose distance…

A: Given:Measure of angle, θ=210 degreesDistance of point from origin, r = 2 units

Q: Rapunzel is at the top of her tower, looking down at Flynn rider who is running towards the base of…

A: QUESTION- Rapunzel is at the top of her tower, looking down at Flynn rider who is running towards…

Q: The angle of elevation from the top of a 95 foot tall bullding to a hot air balloon in the sky is…

A: In triangle ABC , let . It is known that , in the triangle .

Q: On a particular day, the distance of the Earth to the sun was 9.2x107 mi. and the distance from Mars…

A:

Q: A ladder 20 feet long leans against a building, forming an angle of 71° with the level ground. How…

A: Given,A ladder is 20 feet longforming an angle of 71° with the level ground.

Q: A 20 foot ladder leans against the a house forming a 75 angle with the house. Exactly how far is the…

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Q: A 6-foot ladder leans against a wall so that the angle between the ground and the ladder is 78 How…

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Q: Spider-Man sees an injured bird in on the top of a light post and shoots a 36 m long web to the top…

A: Given Data: The length of the web shoot by spiderman on the top next to the bird is: AS=36 m The…

Q: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and…

A: A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and…

Q: A basketball gymnasium is 40 metres high, 90 metres wide and 210 metres long. For a half time stunt,…

A: In the question we have to find the cos angle.

Q: A hunter is laying on the ground near a 15 foot tall tree. He sees his prey on top of the tree at an…

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Q: A 90-foot escalator rises 28 feet vertically. What is the angle that the escalator makes with the…

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Q: A ship sailing parallel to shore sights a lighthouse at an angle of 20° from its direction of…

A: Given a ship sailing parallel to shore sighta lighthouse at an angle of 20°

Q: When she was younger, Mary had to look up at a 46° angle to see into her father's eyes whenever she…

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Q: A force of 745 pounds just keeps a 4100 - pound vehicle from rolling down a hill. To the nearest…

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Q: From a point on the floor the angle of elevation to the top of a door is 47°, while the angle of…

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Q: A garden shaped like a rhombus has a perimeter of 100 feet and a 60 degree angle. Find the…

A: Rhombus has 4 equal sides. Perimeter = 100 feet so each side = 100/4 = 25 feet

Q: Olivia stands on the street and looks at the 6th floor of a building at a 50° angle of elevation.…

A: The following diagram depicts the given information in the question.

Q: Two man who are 475 m apart, find the angles of elevation of a kite between them are 28° and 42°,…

A: Given, two-man are 475 m apart, the angle of elevation of a kite between them are 28 and 42…

Q: find the angle formed by the two cables.

A: Given lengths - a = 120 feetb = 204 feetc = 235 feetLet the angle between the two cables be θ.Then…

Q: A 14-foot ladder is being used to get to the top of a 12-foot-tall wall. At what angle of elevation…

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Q: Gabe can see the top of the fountain by looking up at an angle of 39o . If Gabe is 1.3m tall and the…

A: Given that Gabe can see the top of the fountain at an angle of 39 degree. If Gabe is 1.3 m tall and…

Q: Gina is standing near a building and notices that the angle of elevation to the top of the building…

A: Let 'h' ft be the height of the building. Let the starting position of Gina be A.  She moved 78ft…

Q: Due to a storm, a pilot flying at an altitude of 586 feet has to land early. If he has a horizontal…

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Q: A fireman leaned a 36-foot ladder against a building.  If he placed the ladder 7 feet from the base…

A: To find the angle between ladder and ground

Q: Juliet is standing atop a 15--foot balcony when she spots Romeo at an angle of depression of 5°. How…

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Q: A 51-foot wire running from the top of a tent pole to the ground makes an angle of 57° with the…

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Q: A radio transmission tower is 205 feet high. How long should a guy wire be if it is to be attached…

A: A radio transmission tower is 205 feet high . We find how long should a guy wire be if it is to be…

Q: The most powerful lighthouse on Lake Michigan is 50 m tall. Suppose you are in a boat just off the…

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Q: A triangular plot of the land had one side along a straight road measuring 300 feet. A second side…

A: Use the sine laws to find the length of other side's.

Q: A surveyor set up his instrument at A and measured the angle of elevation of the top of a tower and…

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Q: Two gears are adjusted so that the smaller gear, with a radius of 12.4cm, drives the larger one. If…

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Q: A 6-meter long ladder is leaning against a wall. If the top of the ladder makes an angle of 450 with…

A: A 6-meter long ladder is leaning against a wall. If the top of the ladder makes an angle of 450 with…

Q: Looking out the window of his office 33.9 meters above the ground, Jaime observes that the angles of…

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Q: a man standing near a radio station antenna observes that the angle of elevation to the top of the…

A:

Q: A monument is 35m tall. What is the length of its shadow when the angle of elevation of the sun is…

A: We know that tan(θ)=opposite sideadjacent side

Q: The angle of elevation from the top of one building to another is 26°. If the shorter building is…

A: We can use  the tangent to find this.........   tan 26°  =  (400  + h)1500     where (400 + h) is…

Q: A parking lot is to have the shape of a parallelogram that has adjacent sides measuring 200 feet and…

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Q: If a wagon wheel had 10 more spokes, the angle between spokes would decrease by 3°. How many spokes…

A: Given data is : A wagon wheel has 10 more spokes, the angle between spoke is decrease by 3∘ To find…

Q: a surveyor is modeling how tall a new building for a project must be. If he is standing 200 feet…

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Q: An American-Italian high school hockey player from the North Shore is standing 10 feet from a…

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Q: What is the sum of the angle measures in this shape?

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Q: The angle of elevation from the top of a 95 foot tall bulding to a hot alr balloon In the sky is 76.…

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Q: A forester standing 200 feet from the base of a redwood tree observes that the angle of…

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Q: Jaden is flying a kite and lets off 275 feet of string. If the kite is 150 feet above ground and…

A: Hi, Thank you for the question. Since you have posted multiple questions as per the rule we will…

Q: A sprinkler on a golf course fairway is set to spray water over a distance of 70 feet and rotates…

A: Given, sprinkler rotates through an angle 48o and sprays water over a distance of 70 feet.

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.