Find the distance along an arc on the surface of the earth that subtends a central angle of 10 minutes (1 minute = 1/60 degree). The radius of the earth is 3960 miles. Round to the thousandths. (3 decimal places) Your answer is miles.

Q: The cross section of a rivet has a top that is an arc of a circle. If the ends of the arc are 11 mm…

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Q: Find the measure​ (in radians) of a central angle of a sector of area 53 square inches in a circle…

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Q: Find the distance along an arc on the surface of the earth that subtends a central angle of 8…

A: Solution: The objective is to find the distance along an arc on the surface of the earth

Q: A geologist wants to measure the diameter of a crater. From her camp, it is 5 miles to the…

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Q: Find the measure of the bolded arc. Round your answer to the nearest tenth.

A: A Circle with a diameter of 26 m and having the angle formed by its minor arc is 57 degrees. As…

Q: The area of the sector of a circle with radius 16 feet formed by a central angle of 95 is feet.…

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Q: Find the radian measure of the central angle of a circle of radius r =10 inches that intercepts an…

A: To find the radian measurement of the central angle of a circle.

Q: The radius of a circle is 4 centimeters. What is the length of an arc that subtends an angle of…

A: Length of arc is 28π9 cm

Q: Find the length of an arc that subtends a central angle of 45° in a circle of radius 26 m. (Round…

A: We will find the length of arc in the following step.

Q: Find the length of a circular arc with a radius 12 centimeters sub tended by the central angle of 30…

A: To find the length of a circular arc.

Q: Find the length s of the arc of a circle of radius 50 miles subtended by the central angle 63°

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Q: Determine the measure of the central angle that is formed by an arc length of 5 cm in a circle with…

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Q: Find the area of the sector of a circle of radius 2 feet formed by an angle of 30°. Round the answer…

A: Given radius and angle of the circle are 2 feet and 30°, respectively.

Q: The area of the sector of a circle with radius 8 inches formed by a central angle of 100° is inches.…

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Q: For a circle of radius 4 feet, find the arc length s subtended by a central angle of 60°. Round to…

A: Given:  The radius of a circle: 4 feet. The central angle = 60o

Q: The radius of a circle is 7. What is the length of an arc that subtends an angle of 37 radians? 14

A: There are basically two equations for finding out the length of arc of circle; Length of an arc =…

Q: Find the length of the arc of a circle of radius 12 inches subtended by a central angle of 3pi/4…

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Q: A 50foot tall building has a shadow that is 5 feet long. What is the angle of elevation of the sun?…

A: Given, Height of building is 50 foot. Length of shadow is 5 feet. To find: Angle of elevation of the…

Q: Find the length of the arc of a circle of diameter 14 meters subtended by a central angle of π4…

A: The length of diameter of the circle, d=14 meters  Given central angle, θ=π4 radians

Q: a scientist is standing at the top of a mountain 2 mi above sea level measures the angle of…

A: Here a scientist is standing at the top of a mountain 2 mi above sea level  measures the angle of…

Q: A forester, 175 feet from the base of a redwood tree, observes that the angle between the ground and…

A: Let AB be the height of the tree and C be the position of the Forester as shown below.

Q: Find the length of the arc of a circle of diameter 14 meters subtended by a central angle of -…

A: Given Diameter (d) = 14 m And central angle (θ) =3π/4 radians

Q: Find x, the angle of depression from the top of a lighthouse that is 188 ft above water level to the…

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Q: A​ blimp, suspended in the air at a height of 600 ​feet, lies directly over a line from a sports…

A: The distance between the sports stadium is

Q: A 18 18-ft ladder leans against a building so that the angle between the ground and the ladder is…

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Q: On a circle of radius 6 feet, give the degree measure of the angle that would subtend an arc of…

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Q: Find x, the angle of depression from the top of a lighthouse that is 156 ft above water level to the…

A: The given figure is: To find x

Q: Find the distance along an arc on the surface of Earth that subtends a central angle of 4 minutes (…

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Q: Find the length of the arc of a circle of diameter 8 meters subtended by a central angle of π6…

A: The arc length of the circle having radius r and which subtend angle  θ at the center is given by,…

Q: From the top of a 214-ft lighthouse, the angle of depression to a ship in the ocean is 29. How far…

A: From the top of a 214-ft light house, the angle of depression to a ship in the ocean is 29°. we have…

Q: On a circle of radius 8 feet, give the degree measure of the angle that would subtend an arc of…

A: We have to find angle subtended by arc length.

Q: A sector of area 2pi/5 square inches is formed by a central angle of 45°. What is the radius of the…

A: For the solution follow the next step.

Q: Find the length of the arc on a circle of radius r intercepted by a central angle θ. (Round your…

A: Given:Radius=18 inchesCentral Angle=300 degreesArc of length:A=rθ

Q: The area of a sector with a radius of 14 yards is 38.28 square yards. Calculate the approximate…

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Q: What's the radius of a circle with an arc length of 15 feet that subtends a central angle by 3…

A: Given, Length of arc (l)=15 Central angle (theta)=3 radius of circle(r)=?

Q: From the top of a 237-ft lighthouse, the angle of depression to a ship in the ocean is 25°. How far…

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Q: What is the arc length? (round to the nearest foot) 11 ft 315°

A: Let the radius of circle be r=11 ft, angle subtended by arc at center be θ=315° Let arc length be l.

Q: What is the arc length? (round to the nearest foot) 270° 13 ft

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Q: Find the length of the arc of a circle of diameter 8 meters subtended by a central angle of π4…

A: Note that, the arc length of a circle with radius r and subtending and angle θ is given by S=rθ.…

Q: A circle has a radius of 4 ft. What is the area of the sector formed by a central angle measuring…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Find the distance along an arc on the surface of the earth that subtends a central angle of 2…

A: We have given,

Q: You want to make an 80 degree angle by marking an arc on the perimeter of a 14 inch diameter disk…

A: Now let L be the arc length.

Q: Determine the length (to 1 decimal place) of the arc that subtends an angle of 3.8 radians at the…

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Q: A water sprinkler sprays water over a distance of 30 feet while rotating through an angle of 135…

A: Since, A water sprinkler sprays water over a distance of 30 feet while rotating through an angle of…

Q: Find the area of the sector of a circle with diameter 34 feet and an angle of - radians. Round your…

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Q: Assume the radius of the earth is 3960 miles. A point P on the surface of the earth is 1500 miles…

A: Assume that 1500  mile north is the straight line distance, not the      arc length.…

Q: Find the length of the arc of a circle of diameter 14 meters subtended by a central angle of -…

A: Given diameter = 14m central angle = π3 we have to find the length of arc

Q: The builder of a parking garage wants to build a ramp at an angle of 12 that covers a horizontal…

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Q: What is the arc length? nearest foot) (round to the 270° 13 ft

A: We need to find the arc length of the above figure. We have radius = 13 ft and angle = 270o. So,…

Q: Find the area of the sector of a circle of radius 16 units subtended by an angle of 150∘. Round your…

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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.