Find the point on the terminal side of a 210 degree angle drawn in standard position whose distance from the origin is 2 units.

Q: Find the angle formed by two face diagonals that intersect at a vertex of the cube.

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Q: Find the inclination (in radians and degrees) of the line passing through the points:   (square root…

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Q: A man is standing in front of a wall and looking at its topmost point. If the angle of elevation is…

A: Draw a diagram depicting the scenario. Use the tangent ratio to determine the distance .

Q: An airplane climbs at an angle of 44° with the ground. What is the distance it has traveled in the…

A: An airplane climbs at an angle of 44° with the ground. What is the distance it has traveled in the…

Q: Find the lengths of both circular arcs of the unit circle connecting the point (−√3/2, −1/2) and the…

A: Given:  Point: ( -√3/2 , -1/2 )   Angle = 20°

Q: The angle of elevation of the top of the building at a distance of 50 m from its foot on a…

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Q: Find the distance from the point (9, 7, 4) to the origin.

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Q: 313

A: Definition used -               1) Sum of the internal angles of a quadrilateral is 360°.…

Q: Find the angle of depression of a plane after reaching a height of 203m if its horizontal distance…

A: We have to find the angle of depression of a plane after reaching a height of 203m if its horizontal…

Q: Suppose that you are headed toward a plateau 50 meters high. If the angle of elevation to the top of…

A: Given, The height of plateau = 50 m The angle of elevation = 20o

Q: A boy stands 12 metres from the foot of the building and observes the angle of elevation of the top…

A: Answer (59): Consider, the distance from the head of the boy to the top of the building is x m.…

Q: A cable man is looking down from the top of a telephone pole at an angle of 14°. The pole is 30 feet…

A: where , x= horizontal distance from the bottom of the pole

Q: A ship sailing parallel to shore sights a lighthouse at an angle of 20° from its direction of…

A: Given a ship sailing parallel to shore sighta lighthouse at an angle of 20°

Q: Determine the equation of the straight line passing through the point (3, 1) and with an angle of…

A: The equation of the line is y-y1=m(x-x1). We have (x1,y1)=(3,1)    m=slope of the line= tan 135°

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

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Q: Find the exact coordinates of the point on a circle of radius 5 at an angle of 3

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Q: Find Θ to the nearest degree if Θ is the angle formed by connecting the point (3,-3) to the origin…

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Q: Find the distance from the origin out to the point (25, 5).

A: we know that distance d between two given points x1,y1,x2,y2 is given by d=x2-x12+y2-y12

Q: The east side slope of a hill has a slant height of 187.8 meters. If the angle of inclination of…

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Q: If an airplane makes a 15 degree angle of elevation From the runway when it takes off the plane is…

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Q: An airplane climbs at an angle of 15 degrees with the ground . What is the ground distance it has…

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Q: an 35 foot ladder leaning against a house makes a 15 degree angle with the ground. How far up the…

A: The building, the ladder, and the ground form a right triangle.   where angle between ladder and…

Q: If your standing on the trail 220 feet from the bottom of a tree, you have to look up at a 60 degree…

A: Topic-hight & distance trigonometry

Q: A 15-foot ladder leans against a wall and makes an angle of 65° with the ground. What is the…

A: when ladder lean in a wall it behaves as a hypotenuse of a right angled triangle

Q: Suppose you are headed toward a plateau 68 m high. If the angle of elevation to the top of the…

A: Given : The height of a plateau is 68 m

Q: Find the coordinates of a point on a circle with radius 25 corresponding to an angle of 135∘ (x,y)…

A: We have to find out the coordinates

Q: Find sec 0 for an angle in standard position whose terminal side passes through the point (-5, 2). 3

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Q: A bamboo pole which is 15 meters long is erected vertically. From a point 15v3 from the base of the…

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Q: From a point on level ground 125 feet from the base of a tower, the angle ofelevation is 57.2°.…

A: let a represents the height of the tower. In the right triangle, we have a known angle, an unknown…

Q: What would be the angle to a point on a wheel with with coordinates (5,30)?

A: we have to determine the angle to a point on a wheel with coordinate (5,30). as we know that the…

Q: From a point on level ground 145 feet from the base of a tower, the angle of elevation is 52.6°.…

A: Given From a point on level ground 145 feet from the base of a tower, the angle of elevation is…

Q: A 100 ft. ladder rests on top of a hook and ladder truck with its base 11 feet from the ground. When…

A: We know that the trigonometric ratios :  sin(x) = opposite /hypotenuse .

Q: From a point on level ground 80 feet from the base of a building, the angle of elevation is 25.6°.…

A: We have to find approximate height of the building to the nearest foot where angle of elevation is…

Q: . A 200-ft building casts a horizontal shadow of 120 ft. long. What is the angle of elevation of the…

A: Given, Height of the building = 200 ft  Length of the horizontal shadow = 120 ft  We have to find…

Q: From the top of the control tower 250 m tall, an airplane is sighted on the ground below. If the…

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Q: A ladder rests against a building at a point that is 95 feet from the ground. If the ladder makes a…

A: A ladder rests against a building at a point that is 95 feet from the ground.The ladder makes a 37°…

Q: Find the coordinates of a point on a circle with radius 30 degrees corresponding to an angle of 250…

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Q: Draw an angle in standard position whose terminal side contains the point (3, -2). Find the distance…

A: Distance between points:

Q: Find the coordinates of a point on a circle with radius 15 corresponding to an angle of…

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Q: Find the quadrant where the angle -260', drawn in standard position, terminates.

A: We need to find the quadrant where the angle -260° draw in standard position.

Q: (2, 8) y

A: We can use the trignometrical ratio in order to solve the given problem.

Q: If triangle A is rotated 270 degrees counterclockwise about the origin, which triangle will be its…

A: Triangle A is rotated 270 degrees counterclockwise about origin.

Q: what are the exterior angles of this shape?

A: Exterior angle definition: The angle between the side of the polygon and an extended adjacent side…

Q: If the sun rises at morning at 5:30 with angle of zero, what will be the hour angle when the time…

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Q: Can an angle of elevation be more than 90°?

A: Angle of elevation can never be greater than 90 degrees.

Q: How far from the door must a ramp begin in order to rise three feet with an 8° angle of elevation?

A: Note To Student : Thanks for posting your queries. But problem 6 can not be solved without some…

Q: Two vertical poles, A and B, cast shadows on the ground with lengths of 12 and 25m respectively. If…

A: From the given problem the representative diagram is as shown below: Let the height of pole A is y…

Q: Suppose you are headed toward a plateau 47 m high. If the angle of elevation to the top of the…

A:

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A: Let h be the height from the ground at the point P on the ground from figure,…

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.