A train traveling up an inc line of 4° travels a horizontal distance of 4 km. How much altitude has the train gained?

Q: A 17-foot ladder is placed against a wall. The ladder is on level ground at an angle of 71.5 degrees…

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Q: 2. At a point 160 feet from a building, and in a horizontal line in its base, the angle of elevation…

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Q: From the top of a building 100 m high, the angles of depression of two cars due east of the observer…

A: I am attaching image so that you understand each and every step.

Q: An airplane climbs at an angle of 44° with the ground. What is the distance it has traveled in the…

A: An airplane climbs at an angle of 44° with the ground. What is the distance it has traveled in the…

Q: A baseball is thrown from the stands 32 ft above the field at an angle of 30 up from the…

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Q: A sprinkler sprays water over a distance of 40 feet and rotates through an angle of 80º.  Find the…

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Q: An airplane traveling 400 mph at a cruising altitude of 6.6 mi begins its descent. If the angle of…

A: Given  Speed of airplane = 400 mph Altitude of airplane (at t=0 min) = 6.6mi Angle of descent = 2°

Q: A woman is standing on an 85-meter tall cliff.  She spots a boat in the water below at an angle of…

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Q: A 300 foot tall monument is located in the distance. From a window in a building a person determines…

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Q: A loading ramp is 21 m long with a height of 7 m. What is the angle of incline that the ramp forms…

A: The length of the loading ramp, l = 21 m and the height of the ramp is h = 7 m To evaluate : The…

Q: A 22-ft ladder leans against a building so that the angle between the ground and the ladder is 77 °.…

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Q: 25 ft. - 42 ft.-

A: height of flagpole = 25 ft  length of shadow = 42 ft

Q: A 26 ft wall is leaning. From the base of the wall, the angle of elevation to the top of the wall is…

A: Solving the problem finding the angle between them.

Q: A loading ramp is 21 meters long with a height of 6 meters. What is the angle of incline that the…

A: Explanation of the answer is as follows

Q: A ship is on the surface of the water, and its radar detects a submarine at a distance of 238 ft, at…

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

Q: A satellite orbiting the earth passes directly overhead at observation stations in Phoenix and Los…

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Q: A man standing on a 45m building high, has an eyesight height of 1.5m from the top of the building,…

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Q: 4. A 14.75 inch long windshield wiper swipes upward on an arc at an angle of 132°. How far across…

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Q: To the nearest tenth, what angle of descent (angle of depression) must a plane 264,000 horizontal…

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Q: Electrical wire is being wound around a drum with radius of 1.5 meters. How much line would be wound…

A: Given radius (r) = 1.5 meters Angle (theta) = 302.2 degrees We have to find the arc length (s)

Q: A kite is flying at an angle of elevation of 43 degrees. Find the height of the kite if 37 ft of the…

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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 plane departs from Brisbane and travels 1320km on a bearing of 133 degrees where it lands in…

A: to determine the required distances based on the given data

Q: d) A helicopter is hovering above a road at an altitude of 24 m. At a certain time, the horizontal…

A: given: A helicopter above a road at an altitude of 24 m. Distance between the car and the helicopter…

Q: A water sprinkler head is designed to shoot a stream of water a distance of 42 feet and rotate…

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Q: An airplane traveling at 600 mph at a cruising altitude of 6.9 mi begins its descent. If the angle…

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Q: A photographer frames a carousel in her camera shot so that the line of sight forms tangent segments…

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Q: 2. A 30 ft ladder leans against a building at an angle of 45 °. Compute the distance from the foot…

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Q: The base of an isosceles triangle is 8 feet long. If the altitude is 6 ft long and is increasing 3…

A: Let ABC be an isosceles triangle where x = Base angle, y = Altitude. Given: BC = 8 ft , y=6 and dydt…

Q: A church spine is known to be 60 meters high. At point when the top is seen through a theodolite,…

A: Given- A church spine is known to be 60 meters high. At point when the top is seen through a…

Q: A 24 ft ladder leans against a building so that the angle between the ground and ladder is 85…

A: Given : A 24 ft ladder leans against a building so that the angle between the ground and ladder is…

Q: From an airplane at an altitude of 1,289 m, the angle of depression to a rock on the ground measures…

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Q: A truck with 48-in.-diameter wheels is traveling at 50 mi/h.(a) Find the angular speed of the wheels…

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Q: The area of a sector with a radius of 11 inches is 164.6 square inches. Calculate the approximate…

A: see 2nd step

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…

Q: An escalator in a department store rises 80 feet at a 32° angle, as shown below. 80 feet What is the…

A: It is a right angle triangle so  SinA = opposite side/ adjacent side Given A =32o And opposite side…

Q: An observer at the top of a skyscraper sights a tour bus at an angle of depression of 61 degrees.…

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Q: The altimeter of a jet airplane approaching Eusebio International Airport records 6,300 feet as it…

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Q: player is

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Q: A submarine traveling at 9 mph is descending at an angle of depression of 5 degrees. How many…

A: Given, a submarine traveling at 9 mph is descending at an angle of depression of 5 degrees.

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: An Air Force pilot making a preliminary aerial survey, first observed that when he flew directly…

A: Question:An Air Force pilot making a preliminary aerial survey, first observed that when he flew…

Q: A mountain cabin is built on the side of a hill with a porch extending over a portion of the…

A: The diagram is shown below:

Q: A truck with 48-in.-diameter wheels is traveling at 50 mi/h. (a) Find the angular speed of the…

A:

Q: A poll tilts towards the sun at an 8 degree angle from the vertical at it casts a 22ft. shadow. The…

A: Given:  A poll tilts towards the sun at an 8-degree angle from the vertical at it casts a 22ft.…

Q: Twenty minutes after being launched, a hot air balloon has risen to an altitude of 300 m. The pilot…

A: To Determine: Twenty minutes after being launched, a hot air balloon has risen to an altitude of 300…

Q: A street rises vertically 4.2 m for each 135.1m horizontal distance. What is the angle the street…

A: To calculate the angle that made by street with horizontal where, the vertical distance is 4.2 m and…

Q: A ball is thrown at an angle of 45o to the ground. If the ball lands 90 m away, what was the initial…

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Q: An airplane is heading north at an airspeed of 500 km/hr, but there is a wind blowing from the…

A: Given: Formula used: a2=b2+c2-2bc cos A

Q: A 8-ft ladder leans against a building so that the angle between the ground and the ladder is 69 How…

A: Solve the following problem

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.