You are driving into St. Louis, Missouri, and in the distance you see the famous Gateway-to-the-West arch. This monument rises to a height of 192 m. You estimate your line of sight with the top of the arch to be 1.61 ° above the horizontal. Approximately how far (in kilometers) are you from the base of the arch?

Q: Obtain expressions in component form for the following polar coordinates. A) 13.0 m, 140 degrees…

A: The projections of vector R on the axis: Rx=RcosθRy=Rsinθ   The vector in the component notation:…

Q: An airplane starting from airport A flies 300 km east, then 370 km at 33.0° west of north, and…

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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: A plane takes off from an airport and flies to town A, located d, = 320 km from the airport in the…

A: Given: The distance of town A is d1=320 km. The direction of town A is θ1=20.0∘. The distance of…

Q: Starting in Albany, you travel a distance 427 miles in a direction 38.0 degrees north of west. Then,…

A: From Albany,displacement = 427 miles in 38 degrees north of westHorizontal component = 427 cos( 38)…

Q: A figure skater glides along a circular path of radius 5.90 m. If she coasts around one half of the…

A: The radius of the circular path (r)=5.90 m

Q: Your instructor purchases a drone. He gets out of the roof of a building and flies the drone 140…

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Q: The map below shows that Atlanta is 730 miles in a direction 5.00° north of east from Dallas, and…

A: The x component of the position of Atlanta is,Substitute the values.

Q: Keiko drove to the mountains last weekend. There was heavy traffic on the way there, and the trip…

A: Given Data, The required time to the mountain by keiko in last weekend = 7 hours The required time…

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

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Q: A person walks 23.0° north of east for 3.40 km. How far due north and how far due east would she…

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Q: 5.00 cars pass through an intersection each second. How many cars pass the intersection in 1.00…

A: In 1 year there are 365.25 days.  In 1 days there are 24 hours.  In 1 hours there are 60 minutes.…

Q: You are driving into St. Louis, Missouri, and in the distance you see the famous Gateway-to-the-West…

A:

Q: A map suggests that Atlanta is 730 miles in a direction 5.00 north of east from Dallas. The same map…

A: Answer..

Q: The Harrington family belongs to a yacht club. On Saturdays they take their sailboat out in the bay.…

A: Kinematics.

Q: Indiana Jones is looking for the Ark of the Covenant. He found a box containing the clue of its…

A:

Q: A map suggests that Atlanta is 730 miles in a direction 5.00° north of east from Dallas. The same…

A: d1→ = 730 miles × (cos5oi^ + Sin5oj^) d1→ = 727.22i^ + 63.62j^ miles d2→ = 560 miles × (-Sin21oi^ +…

Q: Two geological field teams are working in a remote area. A global positioning system (GPS) tracker…

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Q: A vector has a horizontal component of -11 and vertical component of 51, what is the magnitude of…

A: Given data:  Vector A has  Horizontal component (Ax) = -11 Vertical component (Ay) = 51 Required:…

Q: 9. In a total time of 2.0 min, a duck on a pond paddles 22 m [E36°N] and then paddles another 65 m…

A: Given:-  The Total time to travel a duck is t = 2 min  The duck travel a first distance d1 = 22 m…

Q: What is the length of the vector 7 = aî + bŷ + ck if a = 4.07 cm, b = -8.59 cm, and c- 4.06 cm? Give…

A: Length of a vector: The length of a vector follows the magnitude of the vector: vector…

Q: Vector A has components A, = -14.6 and A, = -1.28. What is the magnitude A of this vector? A =…

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Q: A person walks 33.0° north of east for 2.30 km. How far due north and how far due east would she…

A: In the picture, AB = 2.30 km He has to travel AC along east and BC along north

Q: Starting at a tree in a flat pasture you walk 20.0 m due south and then 40.0 m in a direction of…

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Q: In a right triangle, the side opposite angle theta has length 9.26 m and the side adjacent to angle…

A: The length of the opposite side of angle theta is given as l = 9.26 m. The length of the adjacent…

Q: A person walks 29.0° north of east for 2.40 km. How far due north and how far due east would she…

A: Displacement of person = 2.40 km in a direction 29o north of east

Q: A small plane takes off from an airport and begins to climb at a 10.0° angle of elevation at 3,000…

A: Angle (θ) = 10°,above the horizontalSpeed (v) = 3000 ft/minTime (t) = 6.00 minRequired:Distance…

Q: Calculate the magnitude and direction of A

A: From the Vector Law of Addition consider North as positive and south as negative( as they are…

Q: A fishing boat leaves a marina and follows a course of S64°W at 9 knots for 20 min. Then the boat…

A: Let's calculate the distance and direction of the boat.Part 1: Distance covered = 9 knots * 20…

Q: A plane leaves Denver and travels 239 miles bearing N77 degrees W, then makes a course correction…

A:

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.