If 0 = 26°, find the distance between two cities, A and B, to the nearest mile. The radius of the Earth is approximately 4000 miles. 4000 miles ..... miles. The distance between the two cities, A and B, is approximately (Round to the nearest whole number as needed.)

Q: The top of the slide is 12 feet from the ground and has an angle of depression of $53\degree$53°​ .…

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Q: To find the distance from the house at A to the house at B, a surveyor measures the angle ACB, which…

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Q: Suppose there is a triangle with sides a, b, and c and angles A, B, and C. Using the known given…

A: Given query is to find the length of side a.

Q: A boat is 1000 meters from the base of a cliff. If the angle of depression from the top of the cliff…

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Q: Using the fact that 7 rad = 180°, find the degree equivalencies for the following angles measured in…

A: Given:  π rad=180°To compute : For a given angle measured in radians…

Q: Given the following point on the unit circle, find the angle, to the nearest tenth of a degree (if…

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Q: A backyard slide is designed for a child's playground. If the top of the 14-ft slide makes an angle…

A: We know that trigonometric ratios :  sin ( theta ) = perpendicular / hypotenuse

Q: Use a calculator to approximate the degree measure (to 1 decimal place) of the angle 0 subject to…

A: To find - value of theta.

Q: Find the angle 0, in radians, in the given right triangle. The length of the side adjacent to 0 is…

A: Given, The triangle is right angled triangle, so formula of Tan theta can be used.

Q: Given the triangle, find the angle 0 in radians. Round to the nearest tenth.

A: Given the triangle below, our aim is to find the value of angle θ in radians.

Q: The 150-foot-long string of a kite you are flying is being pulled taut by the wind and makes an…

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Q: A kite is flying at an angle of elevation of 67° with the ground. If 100 ft of string have been paid…

A: Since, it is given that a kite is flying at an angle of elevation of 67° withthe ground.∠B=67°Since,…

Q: The area of a sector of a circle is 9.2 ft^2. If the central angle is 4 radians, what is the radius…

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Q: If you roll a 1-m-diameter wheel forward 30 cm over level ground, through what angle will the wheel…

A: Given ,  L = 30 cm = 0.3 m  r = d/2 = 1/2 =0.5 m  L = rθ

Q: From the top of a 190-ft lighthouse, the angle of depression to a ship in the ocean is 21°. How far…

A: Given that height of lighthouse is 190 ft. And depression angle is 21°. And we find that how far is…

Q: . If a boat travels on a course of bearing N 68° E for 245 miles, how far north and how far east has…

A: Consider a right angles triangle as follows.  Then  sinθ=bc and cosθ=ac and c2=a2+b2.

Q: If the radius of a circle is r and the length of the arcsubtended by a central angle is also r, then…

A: To find the correct option

Q: If A denotes the area of the sector of a circle of radius r formed by the central angle 0, find the…

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Q: To find the distance from the house at A to the house at B, a surveyor measures the angle ACB, which…

A: The figure is given by To evaluate : The distance between house A and house B i.e., length AB

Q: Suppose there is a triangle with sides a, b, and c and angles A, B, and C. Using the known given…

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Q: Find the radian measure of angle 0, if 0 is a central angle in a circle of radius r, and 0 cuts off…

A: Given r=4 inches s=20 inches

Q: Given the following point on the unit circle, find the angle, to the nearest tenth of a degree (if…

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Q: If the point A = (,- )is in the fourth quadrant and on the trigonometric circumference associated…

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Q: If the radius of a circle is r and the length of the arc subtended by a central angle is also r,…

A: The correct option is identified as follows.

Q: Given that csc(θ)=135 and θ is in Quadrant I, what is cot(θ)? Write your answer in exact form. Do…

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Q: Find the value of the angle 0 in degrees rounded to the nearest tenth of a degree. 12 ..... 0 = °…

A: The solution is given below:

Q: From the top of a 160-ft lighthouse, the angle of depression to a ship in the ocean is 23°. How far…

A: Given query is to find the distance of the ship from the light house.

Q: Find the value of w and then x. Round lengths to the nearest tenth and angle measures to the nearest…

A: 12.In triangle ABCtan∠c=10wtan56°=10ww=10tan56°w=101.4825≈6.7453or w=6.7In triangle…

Q: The area of a sector of a circle with a central angle of 1/5π rad is 22 cm². Find the radius of the…

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Q: Given the following point on the unit circle, find the angle, to the nearest tenth of a degree (if…

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Q: In which quadrant is the reference angle unnecessary in finding the values of the trigonometric…

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Q: The base of the ladder in the figure is a = 10 ft from the building, and the angle formed by the…

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Q: A circle with a central angle of 135°, and the length of the arc is 67 radians. How long is the…

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Q: If you roll a 1-m-diameter wheel forward 30 cm over level ground, through what angle will the wheel…

A: Given,1-meter diameter wheel is rolling forward, 30 cm over level ground.To find an angle for which…

Q: The angle that a quarter of a revolution makes is equal to: None of the above O 45°

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Q: From the top of a 200-ft lighthouse, the angle of depression to a ship in the ocean is 29°. How far…

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Q: What is the value of cot 0 if the terminal side of angle 0 intersects the unit circle in the first…

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Q: Question 24 On a circle of radius 6 feet, what angle would subtend an arc of length 7 feet? (Round…

A: Radius=6feet Arc length=7feet.

Q: A 35-foot ladder is leaning against the side of a building. If the ladder makes an angle of 24o 10'…

A: Given:A 35-foot ladder is leaning against the side of a building and it makes an angle of 24 degree…

Q: The area of a sector of a circle with a central angle of 2?/11 rad is 19 m2. Find the radius of the…

A: Given: Area of the sector =19Central angle =2π11 To Find the radius of the circle.

Q: Two boats are traveling toward a lighthouse that is 200 feet (ft) above sea level at its top. When…

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Q: 12 ft X. 18 ft

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Q: A sector of a circle has an angle of 150° ar Round your answer to the nearest tenth of

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Q: Find an angle between 0 and 277 that is coterminal with the given angle. 10 rad

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Q: Suppose there is a triangle with sides a, b, and c and angles A, B, and C. Using the known given…

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Q: Find the measure of the identified angle. Round your answer to the nearest tenth of a degree. x 21

A: Our Aim is to find the measure of the angle 'x' of the triangle given below:-

Q: If A and B both lie on a circle with an area of 25r, and the length of AB is 47, what is the radian…

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Q: To find the distance from the house at A to the house at B, a surveyor measures the angle ACB, which…

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Q: Find the radian measure of angle 0, if 0 is a central angle in a circle of radius r, and 0 cuts off…

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Q: Find the bearing of the ship. Round to the nearest tenth of a degree if necessary. 333° The bearing…

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Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which two or more lines meet is known as the vertex. When the lines get inclined at this point, they do form various angles. Angles are measured from the vertex in terms of degrees.