The angle between the tangents to a circle from a point P is 48°30’. The radius of the circle is 10 cm. What is the distance of P from the center of the circle, and what is the length of the tangent segments?

Q: A ladder is placed 5 ft5 ft away from a wall and reaches a point 12 ft12 ft high. What is the…

A: Given:  A ladder is placed 5 ft away from a wall and reaches a point 12 ft high. To Find:  To find…

Q: In a circle of radius 7 miles, the length of the arc that subtends a central angle of 2 radians is

A: Topic:- geometry

Q: 20 cm 18 cm

A: This is right triangle so use the trigonometric ratio specially tangent.

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Q: On the unit circle, an arc of length 2 subtends an angle, β. What is the radian measure of β?

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Q: On a circle of radius 5 feet, what angle would subtend an arc of length 3 feet? In radians: In…

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Q: The angle of elevation to the top of a very tall building is found to be 15° from the ground at a…

A: The angle of elevation to the top of a very tall building is found to be 15° from the ground at a…

Q: In a circle of radius 5 miles, the length of the arc that subtends a central angle of 5 radians is

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Q: Find the length of an arc of a circle of radius 10 m if the arc subtends a central angle of 2pai/5…

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Q: If the radius of a circle is 20 cm and the measure of the central angle is 120°, what is the arc…

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Q: An airplane is observed to be approaching a point that is at a distance of 15 km from the point of…

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Q: On a circle of radius 48 feet, what angle would intercept an arc of length 40 feet? in radians: in…

A: given that radius of circle is 48feet and arc length of 40 feet

Q: From a point on the South Rim of a​ canyon, it is found that the angle of elevation to a point on…

A: Given:- From a point on the South Rim of a​ canyon, it is found that the angle of elevation to a…

Q: Use the tangent ratio to find the size of the angle marked x, correct to the nearest degree. 40 cm…

A: To find the measure of x0.

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 the length of the arc of a circle of diameter 8 meters subtended by a central angle of pi/3

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Q: In a circle of radius r, what is the length s of an arc that subtends a central angle of u radians?

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Q: 1. Find the length of an arc of a circle with a 10-cm radius associated with a central angle of…

A: Solving the problem by finding the length of the arc.   NOTE :: As per our Expert guidelines we are…

Q: In circle A, BC is tangent to the circle. А C. 3. If the distance of point C from the center of the…

A: Given

Q: Find the radius r of the circle if an arc of length 8 m on the circle subtends a central angle of…

A: Answer and explanation is given below...

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Q: Find the radius r of the circle if an arc of length 40 cm on the circle subtends a central angle of…

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Q: 3) The radius of a circle measures 25 m. Calculate the angle between the tangents to the circle,…

A: Given Since The radius of a circle is perpendicular to the tangent line through its endpoint on the…

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A: Let the radius of the circle is r. It is given that the length of the arc is 15m The central angle…

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

Q: Find the length of an arc of a circle with radius 18cm if the arc subtends a central angle of 30…

A: Here we find the length of an arc of a circle with radius 18 cm if thearc subtends a central angle…

Q: On a circle of radius 10 m, how long is an arc that subtends a central angle of 4pi/5 radians?

A: The circle of 10 m radium is as follows:

Q: A circle with a radius of 6 cm is centered a vertex of Angle A, and Angle A subtends a that is 10.8…

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Q: The area of a sector of a circle with a central angle of 3π/14 rad is 21 m2. Find the radius of the…

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Q: An isosceles triangle has two congruent sides of length 14 inches. The remaining side has a length…

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Q: Find the length of the intercepted arc if the area of a sector of a circle formed by a central angle…

A: The arc length is equal to the product of radius and central angle in radians.  Let arc length be L,…

Q: Find the length s of the arc that subtends a central angle of measure 6 rad in a circle of radius 2…

A: The length of a arc subtending central angle x radians in a circle of radius r is  S=x×r.

Q: On a circle of radius 7 feet, what angle would subtend an arc of length 2 feet? In radians: In…

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Q: At Sampaloc Lake, a boatman sights a buoy at an angle of 28° to the boat's path. He continues on the…

A: Given: At Sampaloc Lake, a boatman sights a buoy at an angle of 28 to the boat’s path. He continues…

Q: The angle of elevation to the top of a very tall Building is found to be 7° from the ground ... at a…

A: Use trigonometric ratio to solve

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Q: 1. Find the length of an arc of a circle with radius 3 cm that subtends a central angle of 120°.

A: Solve find the arc length

Q: The sides of a triangle are 7 m, 9 m, and 11 m, respectively. Find the radius, in m, of the circle…

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Q: On a circle of radius 7 feet, what angle would subtend an arc of length 1 feet? In radians: In…

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Q: Find the area of a sector of a circle of radius 10, subtended by an angle of 1.5 rad? What if the…

A: Given- Circle of radius=10 cm, angle= 1.5 rad and angle=1.5°. To find- The area of the sector of the…

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.