PART B What is the angle of rotation about the origin? ® 180° 360° © 270° A 90

Q: The figure below is a simplified model of a Ferris wheel with diameter 250 feet. The top of the…

A: given, diameter of the wheel is 250 feet(radius=125feet). Top of the wheel is 265 feet above the…

Q: Explain why the Pythagorean Theorem is a special case of the Law of Cosines.

A: Consider the following figure: Law of cosine: c=a2+b2-2abcosθ

Q: Starting from J, the third member ran the direction similar as the second did. At what point did the…

A: There are 12 letters, hence, distance between any two letters  =  (2π) ÷ 12  =  π/6 rad    And…

Q: A merry-go-round has a radius of 15 feet. If a passenger gets on a horse located at the edge of the…

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Q: explain why any rotation can be described by an angle between 0° and 360°

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Q: A boat starts off 25 miles directly north from the city of Hartville. It travels due west at a speed…

A: Given:The boat travels 25 miles towards the north from the city.Then it travels 37 miles towards the…

Q: The shadow of a 60 foot tall pole is 100 feet long. What is the angle of elevation from the end of…

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Q: Convert the following angle from degrees to radians. Express your answer in simplest form. 285°

A: see next step

Q: Mohal leans a 20-foot ladder against a wall so that it forms an angle of 72° with the ground. How…

A: Given: Height of ladder =20 ft Angle between ground and ladder = 72 To find: How high does ladder…

Q: A 170-foot tall antenna has 4 guy-wires connected to the top of the antenna, and each guy-wire is…

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Q: Why is csc theta>= 1 for any angle theta in standard position?

A: The ratios of the cosecant and secant functions on the coordinate plane, r/y and r/x, have the…

Q: An engineer stands 145 feet from a building. He uses a transit telescope that stands 5 feet from the…

A: Redraw the diagram and label the the dimensions of triangle formed by dotted lines.

Q: The Washington Monument is 555 feet high. If you are standing one quarter of a mile, or 1320 feet,…

A: Given Height of monument (H) = 555 ft Distance between monument's base and you = 1320 ft

Q: The angular elevation of a tower CD at a place A due south of it is 60°; and at a place B due west…

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Q: you are given an angle in degrees and you

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Q: the toronto stock exchange is housed in the exchange tower. From the top of the building, the angle…

A: Given: θ=55.6° According to given data figure will be as follows: Where; h is height of building…

Q: A merry-go-round has a radius of 15 feet. If a passenger gets on a horse located at the edge of the…

A:

Q: 25 ft. - 42 ft.-

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

Q: Serena is skiing around a circular trail that has a four kilometer radius. If she travels through an…

A: Distance travelled around path will be given by S=θ2π×2πRS=θR

Q: A flagpole casts a shadow that is 15 feet long. The angle of elevation of the sun at this time is 40…

A: Drawing a figure to represent the given data will simplify the question for us. After that we will…

Q: Convert the angle 45° in degrees to radians.Express your answer as a multiple of π.

A: To convert 45° to radian. Solution: We know that 1°=π180° radian To convert degree into radian we…

Q: What is meant by an angle of one radian?

A: To define  angle of one radian

Q: Use the keys on your calculator or graphing utility for converting an angle in degrees, minutes, and…

A: Given: 65°45'20''

Q: Convert the angle 18° in degrees to radians.Express your answer as a multiple of π .

A:

Q: A million years ago, an alien species built a vertical tower on a horizontal plane. When they…

A: Given points (0,0,0)  , (2,2,0)   , (0,3,2)first we find cross product of (2,2,0)    and…

Q: A 14 foot ladder leans against a building. The angle between the ground and the ladder is 30…

A: A 14 feet ladder leans against a building. Angle between ground and ladder is 30°

Q: Convert the following angle from degrees to radians. Express your answer in simplest form. 345°

A: Explanation: Given that,  Angle in degree 345°     Concept Used: To convert the degree to radian we…

Q: Convert the angle 135° in degrees to radians. Express your answer as a multiple of π.

A: The given angle is 135°

Q: A rectangular box has length 11 inches, width 20 inches, and a height of 7 inches. Find the angle…

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Q: Convert the angle 120°in degrees to radians. Express your answer as a multiple of π.

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Q: In terms of the cosecant of a positive acute angle, what is the expression for csc 240°?

A: Given expression is

Q: The figure below is a simplified model of a Ferris wheel with diameter 210 feet. The top of the…

A: Given Data: The diameter of the Ferris wheel is: D=210 ft The top of the wheel above the ground is:…

Q: Use words to describe the formula for:the sine of half an angle.

A: We can easily derive the formula for the sine of half an angle:   Let's use the trigonometric…

Q: Two cities are approximately 600 miles apart on the surface of the earth. Assuming that the radius…

A: The distance between the two cities on the surface of the earth is 600 miles. The radius of the…

Q: What is the reference angle of Theta if Theta = -382.1 degrees?

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Q: Find the reference angle for the rotation of 65 degrees

A: Reference angle is the acute angle the line makes with x axis.

Q: Karina has an antique one-speed bicycle that has two gears connected by a chain. The front gear has…

A: Remarks: (i) . (ii) The linear velocity of two gears connected with a chain have same linear…

Q: The Eiffel tower is 970 feet tall, Ie the shadow iS 1200 feet lang at 11:00 am, what is the angle of…

A: topic - inverse trigonometric ratios

Q: A buoy is floating in the water near a lighthouse. The height of the lighthouse is 18 meters, and…

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Q: June is riding on a circular Ferris wheel that has a radius of 38 feet. After boarding the Ferris…

A: find explain below

Q: A wheel is rotating 5 radians per second, and the wheel has a 71 inch diameter. What is the speed of…

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Q: Xavier leans a 28-foot ladder against a wall so that it forms an angle of 69° with the ground. How…

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Q: How does the law of cosines generalize the Pythagorean theorem?

A: We have to show that the law of cosines generalize the Pythagorean theorem.

Q: A merry-go-round has a radius of 18 feet. If a passenger gets on a horse located at the edge of the…

A: Given : A merry-go-round has a radius of 18 feet.  The passenger gets on a horse located at the…

Q: What is the exact radian angle measure for pi degrees? the decimal approximation?

A: To convert an angle in degrees to radians, multiply the angle by,

Q: Julia leans a 18-foot ladder against a wall so that it forms an angle of 68° with the ground. How…

A: topic - trigonometric ratios

Q: What word is produced by a 180° rotation about the point? МОМ

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Q: You are standing at ground level, 5000 ft away from where a rocket is being launched (pictured…

A: Using right angle triangle tan(θ)=Opposite sideAdjacent sidetan(θ)=h5000

Q: A lighthouse is located 1500 feet away from a straight beach. The beam of light coming from this…

A: Given that, The lighthouse is located 1500 feet away from the beach. Beam from the lighthouse makes…

Q: The architect continues to rotate the umbrella in a counterclockwise direction until it is in its…

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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.