Situated between Portage Road and the Niagara Parkway directly across from the Canadian Horseshoe Falls, the Falls Incline Railway is a funicular that carries passengers up an embankment to Table Rock Observation Point. If the length of the track is 51.8 meters and the angle of inclination is 36°2 , determine the height of the embankment.

Q: A water main is to be constructed with a 10% grade in the north direction and a 20% grade in the…

A: Dot product of two vector 'a' and  'b' is : a→·b→ =|a→|·|b→|*cosθ

Q: From a window 30 feet above the level ground, a building 100 feet high, and at a distance of 200…

A:

Q: An aircraft (at Z) is spotted by two observers (at X and Y) who are L = 1750 feet apart. As the…

A: Given: Let XD=x. So, YD=1750-x. In triangle XDZ, ZD=x tan A   and   in triangle ZDY, ZD=(1750-x)…

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A: The Washington Monument in Washington, D.C. is 555 feet tall and a tourist sees the monument with a…

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A:

Q: The angle of depression from an airplane to the top of an air traffic control tower is 56°. If the…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: A radio tower is located 300 feet from a building. From a window in the building, a person…

A:

Q: A blimp, suspended in the air at a height of 400 feet, lies directly over a line from a sports…

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A: Let the height of the light of the lighthouse is h. See the picture below

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A: A six-foot pole casts a four-foot shadow. Now the diagrammatic representation is,

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A: The objective is to find how far is the ship from the base of the Cliff

Q: A person observes that from point A, the angle of elevation to the top of a cliff at D is 30°.…

A: GIVEN  HEIGHT OF CLIFF , DC=80m

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A:

Q: A surveyor stands on a grassland and sees an evergreen tree on the side of a hill. Using their…

A:

Q: If the angle of elevation of a cloud from a point P, h meters above a lake is a and the angle of…

A: As per the let us assume that P is the point which is at H meters distance from the lake, The cloud…

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A:

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A: Here we have to use basic trigonometric ratios to find the depth of the submarine.

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A: To fill in the blank: The bearing from point O to point P is the acute angle, measured in degrees,…

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A:

Q: An observer at the top of a building sees a car on the road below. The angle of depression to the…

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Q: From a 200 foot tower on the shore a man sees a ship at sea. If the angle of depression from the man…

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Q: Find the measure of the indicated angle to the nearest degree.

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Q: The angle of elevation from a viewer to the center of a fireworks display is 55°, If the viewer is…

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A:

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A: As shown in the figure,A and B are the stations, and D is the satellite.Distance between two…

Q: A building 150 feet tall casts a 30 foot long shadow. If a person looks down from the top of the…

A: Given,

Q: The angle of elevation from a viewer to the center of a fireworks display is 55°. If the viewer is…

A:

Q: Find the angle between v and w to the nearest degree.

A: SOLUTION-

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A:

Q: A telephone pole in Valdosta casts no shadow at the same time as a telephone pole in Atlanta casts a…

A: Given A telephone pole in Valdosta casts no shadow And at the same time as a telephone pole in…

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A: Given angle of elevation 46° Angle of depression 14°

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Q: A park ranger, on top of a 200-- foot tower, spots a wolf at an angle of depression of 14°. How far…

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Q: A pilot is flying over a straight highway. He determines the angles of depression to two mileposts,…

A: Given: Distance between the milestones is, AB=6.9 km. The two angle of depressions are 35° and 50°.…

Q: From atop a 200-ft lookout tower, a fire is spotted due north through an angle of depression of 12°.…

A: Consider the given figure. Let h be the height of the tower, d be the distance from the fire to the…

Q: An airship is flying at an altitude of 800 m when it spots a village in the distance with a…

A: Consider the diagram given below, Point A is the location of the plane at that instant, point C is…

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Q: The boat is 3 mi from both light houses and the angle between the line of sight to the lighthouses…

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Q: 2) An airplane flying at an altitude of 563m is 2 km from the airstrip. What is the angle of…

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Q: A 9.0 m ladder rests against the side of a wall. The bottom of the ladder is 1.5 m from the base of…

A: Given Data: The length of the ladder is: l=9.0 m The distance between the bottom of the ladder and…

Q: Find the measure of the indicated angle to the nearest degree

A:

Q: A surveyor detects that the angle of elevation to the top of a skyscraper is 14) 42°45'. After…

A:

Q: From the top of a 200-ft high tank, the angle of depression to a house is 15.5°. How far away is the…

A: Consider, AB represents the height of the tank and C represents the house; x represents the distance…

Q: A submarine that has sunken to the ocean floor is being pulled up by two large freight ships on the…

A:

Q: From the top of a 228-ft lighthouse, the angle of depression to a ship in the ocean is 16°. How far…

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Q: From the top of a 200-ft lighthouse, the angle of depression to a ship in the ocean is 23degree. How…

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Q: A ________ measures the acute angle that a path or line of sight makes with a fixed north-south line

A: A Bearing measures the acute angle that a path or line of sight makes with a fixed north-south line.

Q: The angle of elevation from point A to the top of the cliff is 34°. If point A is 1,000ft from the…

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

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.