A right triangle with sides of 3, 4, and 5 units has angles that are 37°, 53°, and 90°, respec- tively. Which of its sides is the hypotenuse? Which side is opposite the 37° angle? Which side is opposite the 53° angle?

Q: Two points in a plane have polar coordinates (2.40 m, 40.0°) and (4.50 m, 110.0°). (a) Determine…

A: The cartesian coordinates of a point is given by ax = acosθ ay = asinθ, where a is the magnitude of…

Q: he map below indicates that Berlin is about 358 miles in a direction 2.00° north of east from…

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Q: Suppose you walk 14.5 m in a direction exactly 19° south of west then you walk 22 m in a direction…

A: The walking distance along 19 degrees south of west is The walking distance along 39 degrees west of…

Q: Two vectors A and B are given by A = 51 +61 + 7k and B = 31-8j + 2k. If these two vectors are drawn…

A: The two vectors are, Required:-The angle between the two vectors.

Q: You pull a rope to the right with a force of 250N and a friend puls on the same rope to the left…

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Q: Consider the vector 7.2I - 4.6j, where i points horizontally to the right and j vertically upwards,…

A: Given The vector is given as A→=7.2i^-4.6j^   We have to find the magnitude of the vector and the…

Q: Starting from one point, a dog walks 25 m in a direction 60° south of west and then walks 50 m…

A: d1→ = 25 m (-cos60oi^ - sin60oj^)d1→ = -12.5i^ - 21.65j^ md2→  = -50 j^ m

Q: I need help with this problem and an explanation for the solution described below. (University…

A: The problem is asking us to find the x and y components of a vector. The vector has a magnitude of…

Q: A cannonball fired out to sea from a shore battery follows a parabolic trajectory given by the graph…

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Q: The length of the slope of a mountain is 2820 m, and it makes an angle of 10.4° with the horizontal.…

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Q: An airplane flies 200 km due west from city A to city B and then 250 km in the direction of 33.0°…

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Q: Suppose you walk 15 m in a direction exactly 19° south of west then you walk 25.5 m in a direction…

A: We are given our displacements along with their directions. We find the resultant displacement along…

Q: Suppose A = (-3.92 m)i + (3.66 m)j, B = (2.56 m)i + (-4.99 m)j + (2.05 m)k, and D = (-3.69 m)i +…

A: The vector A=-3.92i+3.66j. The vector B=2.56i-4.99j+2.05k. The vector D=-3.69i-3.85j.

Q: Suppose you walk 14.5m in a direction exactly 24 degrees south of west then you walk 18m in a…

A: According to the problem, α1=240,α2=420 Find components of displacement using the algebraic method…

Q: Write v = (-5, 12) as a product of its magnitude and a unit vec- tor in the direction of v.

A: Given Data: The vector v is given as, v=-5,12   The expression for the unit vector v is,…

Q: Two points in the xy plane have Cartesian coordinates (6.00, -4.00) m and (-7.00, 7.00) m. (a)…

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Q: 2. A commuter airplane starts from an airport and takes the route shown in the figure below. The…

A: Distance=150km

Q: Suppose you walk 15.5 m straight east and then 24m straight south. At what angle in degrees south of…

A: I walk 15.5 m straight east (OA) and then 24m straight south (AB).

Q: The height yy (in feet) of a ball thrown by a child is y=−112x2+6x+3y=−112x2+6x+3 where xx is the…

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Q: An arrow is 3 inches long and points due west. What is its projection on an axis that points: a)…

A: The projection of an arrow on an axis is the length of the segment of the axis that is perpendicular…

Q: Supply all missing information with the correct numerical values. Do not include the units. Round…

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Q: You throw a baseball to a child 25 feet away. The height y (in feet) of the baseball is given…

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Q: What is the angle above the x-axis (north of east) for a vector with components (15 m, 8 m)?

A: The objective of the question is to find the angle above the x-axis (north of east) for a vector…

Q: Vector v = . Find the angle in which the vector v points (measured counterclockwise from the…

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