Find the distance between the pair of points (2,1) and (6,9). If necessary, express the answer in simplified radical form and then round to two decimal places. ..... The distance between the given points is units. (Simplify your answer. Type an exact answer, using radicals as needed.)

Q: If 0 is an angle in standard position and its terminal side passes through the point (3,-4), find…

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Q: From a point on the ground that is 120 feet from the base of a building, the tangent of the angle of…

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Q: / Find the equation of the tangent through the Point P(I,4) with the angle of in Clination 8 = 60…

A: Given Point P(1,4) & inclination θ=60To find equation of tangent:

Q: Find the coordinates of the point on the unit circle at an angle of 240°. Give your answer in the…

A: 240o-180o=60o The unit circle is as shown :

Q: The area of a sector of a circle with central angle - is 80r in.?. Find the exact radius of the…

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Q: Find the acute angle between the lines. Round your answer to the nearest degree. 7x - y= 4, 5x + y =…

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Q: Consider a right triangle with a side of length x opposite angle A, a side of length y opposite…

A: We use Trigonometry ratios to solve this Question

Q: The radius of a wheel rolling on the ground is 80 centimeters. If the wheel rotates through an angle…

A: Given that the wheel is rotated by an angle of 60°We know that i°=π180 and∴60°=60xπ180rad=π3rad

Q: A is approximately due north of B. The latitude of A is 480N while the latitude of B is 300 N (N-…

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Q: Q3) On a circle of radius 10 m, how long is an are that subtends a central angle of 4n/5 radians?…

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Q: Find an angle 0 coterminal to -261°, where 0° <0 < 360°.

A: Coterminal angles  are such  angles with initial dude on the positive x axis and have a common…

Q: The tangent of an angle is ____ greater than 1 .

A: We have to find at what angle the tangent greater than 1.

Q: The horizontal distance of the ramp is 12 ft and the vertical height of the ramp is 4 ft. What is…

A: The horizontal distance of the ramp is y=12 ft Vertical height of the ramp is 4 ft. Let the length…

Q: Assuming that a 360-foot tall giant redwood grows vertically, if I walk a certain distance from the…

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Q: Suppose that you are headed toward a plateau 34 meters high. If the angle of elevation to the top of…

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Q: Evaluate. Express results in Rectangular Form correc to 3 decimal places. Arccot (3 + 4i)

A: Given, θ= Arc cot (3+4i)To find : Express the given θ in rectangular form .

Q: the acute angle (in radians) between the two straight lines y=3x +2 and y=4x+7 is closest to what…

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Q: Find the acute angle to the nearest degree between the vertical lin x = 2 and 3x -2y + 1= 0

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Q: The area and perimeter of a triangle is 2310sq.cm. and 220cm respectively. A circle is escribed…

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Q: Suppose that you are headed toward a plateau 51.8 meters high. If the angle of elevation to the top…

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Q: Find the tangent of angle © in the triangle below. 7 7

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Q: Find an angle 0 coterminal to -208°, where 0°<0 < 360°.

A: From the concept of coterminal angles

Q: Find the length of the hypotenuse of the given right triangle pictured below. Round to two decimal…

A: Given that: A right triangle as shown.

Q: The horizontal distance of the ramp is 8.3 feet and the vertical height of the ramp is 6.6 feet.…

A: Given: Horizontal =8.3 feet Vertical =6.6 feet To find: Angle of inclination=??

Q: 2 +7 cot.x (x) 5x

A: Consider  y(x)=25x5−x23−1cotx+7

Q: Find the value of each of the following if (1, -7) is a point on the terminal side of angle 0 and 0…

A: Given,          1,-7 is a point on the terminal side of angle θ and θ is in standard position.

Q: From the roof of the building 70 ft high, the angle of elevation of the top of the pole 11.2°. From…

A: Let's find.

Q: Determine the length of a ladder needed to reach the roof of the building shown below. The building…

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Q: Ise the distance formula to find the distance between A and C

A: The objective is to determine the distance between A and C. Here, point A is at (-2,6) and the point…

Q: Find the coordinates of the point on the unit circle at an angle of 240°. Give your answer in the…

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Q: How is the pythagorean theorem related to distance formula?

A: Consider the provided information, We know that the Pythagorean theorem is defined as, c2=a2+b2 So,…

Q: Use the Pythagorean Theorem to find the missing side of the right triangle below. Round your answer…

A: I have provided solution in step2

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: An escalator in a department store rises 80 feet at a 32° angle, as shown below. 80 feet What is the…

A: It is a right angle triangle so  SinA = opposite side/ adjacent side Given A =32o And opposite side…

Q: From a point on the ground 700 ft. from the base of a building, an observer finds that the angle of…

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Q: Find the distance from the origin to the point (a, b).

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Q: The segments in each figure are tangent to the circle at the points shown. Determine the value of x,…

A: The figure of the circle where AB and AC as tangent is given by To evaluate : The value of x and…

Q: Find the value of the variable using the given chord, secant, and tangent lengths. If the answer is…

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Q: Plot these coordinates and make sure to label each point A (-4, pi/2) B (3, -5pi/6) C (5, 300°)…

A: Given the coordinates:

Q: Given the diameter of the Earth as 8,000 miles, a satellite's orbit is 6,400 miles above the Earth.…

A: Topic = Trigonometric ratios

Q: Find an angle 0 coterminal to 616°, where 0° <0 < 360°-

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Q: Given an angle α that has (8, -6) on its terminal side,

A: Given an angle α that has (8, -6) on its terminal side

Q: The angle of elevation for a ramp is recommended to be 4 degrees. If the horizontal distance from…

A: To find: The length of the ramp. Given information: The angle of elevation for a ramp is recommended…

Q: During a total eclipse of the sun, the moon is directly in line with the sun and blocks the sun's…

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Q: Twenty minutes after being launched, a hot air balloon has risen to an altitude of 300 m. The pilot…

A: To Determine: Twenty minutes after being launched, a hot air balloon has risen to an altitude of 300…

Q: Find the coordinates of the point on the unit circle at an angle of 4. Give your answer in the form…

A: Given:

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: What bearing and airspeed are required for a plane to fly 320 miles due north in 2.0 hours if the…

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