An angle's initial ray points in the 3-o'clock direction and the terminal ray rotates in the CCW direction. Let 0 represent the varying angle measure (in radians). Slope of Terminal Ray = 1.73 0 = 1.05

Q: A carnival has a Ferris wheel with a diameter of 80 feet. The time for the Ferris wheel to make one…

A: To determine the linear and angular speed of a point on the wheel.

Q: An object is traveling around a circle with a radius of 9 inches. If in 10  seconds a central angle…

A: Given:      radius of circle r = 9 inches      time taken t = 10 sec      angular swept out θ = 1/2…

Q: Find the inclination ? (in radians and degrees) of the line passing through the points. (Round your…

A: We have to find inclination

Q: An airplane traveling at 400 mph at a cruising altitude of 7.0 mi begins its descent. If the angle…

A:

Q: Find the inclination ? (in radians and degrees) of the line passing through the points. (6, 16),…

A:

Q: A plane is flying at an altitude of 17,000 feet. The angle of depression from the plane to the…

A:

Q: A boat is towed toward a dock by a cable attached to a winch that stands 10 feet above the water…

A:

Q: A security camera in a neighborhood bank is mounted on a camera pole 9 feet above the floor. The…

A: Given a securiy camera in a neighborhood bank is mounted on a camera pole 9 feet above the floor

Q: A certain angle has a positive sine value and a negative tangent value. In what quadrant of the…

A: Given that a certain angle has positive sine value and negative tangent value.

Q: The angle of elevation to the top of a building in New York is 10° from the ground and 1.25 miles…

A: Given query is to find the height of the building.

Q: Find the angular speed w of the minute hand of a clock. The angular speed is radian per min.

A: Find the angular speed of the minute hand of a clock

Q: Use the circle shown in the rectangular coordinate system to draw the angle -2π/3  in standard…

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Q: Use the circle shown in the rectangular coordinate system to draw the angle in standard position.…

A: In the given figure, if we start with positive x-axis (Since, angle is always measures from positive…

Q: A 8-meter utility pole casts a 14-meter shadow directly down a slope when the angle of elevation of…

A: Given that, the height of the utility pole is 8 meters. Also, given that the length of the shadow is…

Q: Angle of Elevation If a 75-foot flagpole casts a shadow 43 feet long, what is the angleof elevation…

A: According to the question the figure is, For angle C, Base = BC=43, Perpendicular = 75

Q: Angle of Elevation If a 73.0­foot flagpole casts a shadow 51.0 feet long, what is theangle of…

A:

Q: Find the inclination ? (in radians and degrees) of the line passing through the points. (Round your…

A: Given the points of a line(7,1),(10,10)

Q: Consider the right triangle shown below that has an interior angle measure of 0 radians. mode = 1.00…

A: The triangle.             We have to answer the following...

Q: sea level Begin dive. 125 ft End dive. 500 ft To the nearest degree, determine the dive angle whose…

A: we know that  tan x = perpendicular/ base

Q: Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures…

A: a) m =( y2-y1) / (x2-x1) m = (1.86-0)/ ( -1.35 -0)  m = -1.37778

Q: Find the angle of elevation of the top of a 50 m tall building measured at a point situated on the…

A:

Q: Find the exact circular function value. (Include a reference triangle in your written work.) sin…

A: TO FIND THE EXACT CIRCULAR VALUE GIVEN SIN (3000) = ? FORMULA USED FOR DRAWING TRIANGLE Sin (x) =…

Q: Find exact value using the reference angle along with the appropriate triangle in the correct 2л…

A: As we know that, 180° = π ( rad) => π  = 180° => 1 = 180/π So, 2π/3 = (180/π) •(2π/3)…

Q: Corresponding angle measure in radians of 45 degrees.

A: 360 degrees of angle measure is same as 2π radians.Hence, Hence 45 degrees is given in radians as:

Q: Ques Find the exact circular function value 37 sin

A: Given, the exact circular function value      Sin(3pi/4). Option (B) is correct.

Q: A truck travels 12 km up a mountain road. The change in height from the bottom to the top is 732 m.…

A: topic - trigonometric ratios

Q: A pole stands 75 feet tall. An angle is formed when wires of various lengths of aF feet are attached…

A: Given that length of a pole is 75 ft.  find the rate of change of the angle dθdx  at x=199ft

Q: An angle's initial ray points in the 3-o'clock direction and the angle measures radians. Which of…

A: It is given that an angle's initial ray points is in the 3-o'clock direction.

Q: An observer from the top of a light house 100m high above the sea level, the angle of depression of…

A:

Q: A person is standing 75 feet from a church that is 180 feet tall. The person looks up at the top of…

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Q: Find exact value using the reference angle along with the appropriate triangle in the correct…

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Q: Which of these pizza slices gives the best value (the most pizza per dollar spent)? A. a slice with…

A: (A).   Area of the slice of the pizza is: Area=30360×π×122Area=12πNow the area per dollar is:…

Q: License A rocket is fired from the ground at some angle and travels in a straight path When the…

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Q: Find the inclination ? (in radians and degrees) of the line passing through the points. (1,…

A:

Q: An airplane traveling at 400 mph at a cruising altitude of 7.1 mi begins its descent. If the angle…

A: Given problem:- An airplane traveling at 400 mph at a cruising altitude of 7.1 mi begins its…

Q: A radar follows a plane moving overhead. When the radar has an angle of π/6 with the ground the…

A: Speed

Q: angle of measure intersects the unit circle at point (, ). What is the exact value of cos():

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Q: Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures…

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Q: Find the angular speed w of the hour hand of a clock. The angular speed is radian per hr.

A: Please refer the attached image for complete solution.

Q: A road is inclined at an angle of 6°. After driving 4600 feet along this road, find the driver's…

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Q: The angle of elevation to the top of a building changes from 20° to 40° as an observer advances 150…

A: Given : The angle of elevation to the top of a building changes from 20∘  to 40∘ as an observer…

Q: 30 person stands 30 feet from point P and watches a balloon rise vertically from the point, as shown…

A: It is angle of elevation problem.

Q: An airplane leaves the runway climbing at an angle of 18° with a speed of 275 feet per second. Find…

A: the speed of the airplane is given 275 feet/sec and we have to find the altitude of the plane after…

Q: rainbow forms when sunlight reflects off raindrops at different angles. For the blu

A: Introduction: A transversal line is formed when a straight line intersects two or more parallel…

Q: A funicular carries passengers up an embankment to an observation point. If the length of the track…

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Q: What percentage grade should a road have if the angle of elevation of the road is 6 degrees? (The…

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Q: Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures…

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Q: A ship receives sonar reflections at an angle of depression of 31° from a submarine 27 km above the…

A: Topic - trigonometry

Q: Name Describe the relationship between the remote interior angles and their exterior angle in a t 1.…

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

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.