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: Three players on a reality TV show are brought to the center of a large, flat field. Each is given a…

A: To win the game winner needs to calculate the final displacement. The displacement in vector form is…

Q: Vector addition: (use scale 1 cm = 5 units, for example 15 m/s = 3 cm) Draw coordinate plane too (x…

A: To add to the vector, the vector is drawn in a way that the second vector starts from the head of…

Q: Starting in Albany, you travel a distance 406 miles in a direction 14.9 degrees north of west. Then,…

A:

Q: A trapper walks a 5.0-km straight-line distance from her cabin to the lake, as shown in the…

A:

Q: Vector has a magnitude of 44 units and points in the positive y direction. When vector is added to ,…

A:

Q: A person is standing at the edge of the water and looking out at the ocean (see figure). The height…

A: Given, Height of person,h=1.5 m Radius of Earth,R=6.38×106m

Q: The x-component of vector R is R = -31.0 units and its y-component is R, = 31.6 units. What are its…

A:

Q: An airplane flies 200 km due west from city A to city B and then 360 km in the direction of 30.5°…

A: Given: The distance traveled by an airplane due to west from city A to city B is a = 200 km The…

Q: The line from a point 150 feet from the base of a redwood tree to the top of the tree is 211 feet.…

A:

Q: A man walks 22.4789 m directed 61.0652 degrees from the positive x-axis, then he walks 17.113 m…

A: d1 = 22.4789 m @61.0652o counterclockwise from +x axis d2 = 17.113 m @334.191o counterclockwise from…

Q: surveyor measures the distance across a straight river by the following method: Starting directly…

A:

Q: 1.33 • Vector A is 2.80 cm long and is 60.0° above the x-axis in the first quadrant. Vector B is…

A:

Q: A trapper walks a 5.0-km straight-line distance from her cabin to the lake, as shown in the…

A:

Q: X (1): Find the magnitude of the angle that makes the value of the resultant Ib 2000, and also…

A: Here it is given that the resultant of the vector is 2000lb.Again the two vectors are 1400 lb and…

Q: A surveyor measures the distance across a straight river by the following method. Starting directly…

A: Given information:The distance she walked across the bank of river (d) = 138 mThe angle she sights,…

Q: Determine the following for a point with the rectangular coordinates (1.060, 2.930) m. (a) the polar…

A: Rectangular coordinates of a point = (1.06, 2.93) m to find : polar coordinates of this point

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: PLEASE HELP

A: Consider the triangle ABC, where AB is the distance between the cities A and B, BC is the distance…

Q: A surveyor measures the distance across a straight river by the following method: Starting directly…

A:

Q: A surveyor measures the distance across a river that flows straight north by the following method.…

A: Consider the figure below.

Q: A person walks 24.0° north of east for 2.40 km. How far due north and how far due east would she…

A: Consider the diagram below, which represents the situation given in the question.

Q: The x-component of vector  R  is  Rx = −27.2  units and its y-component is  Ry = 31.4 units.…

A:

Q: Anthony joined a challenge game in his school. To get to the clue, he has to walk 30 meters 30°…

A: Resultant of vectors can be determined by resolving them into its components.

Q: A man walks 12 0715 m directed 162 6268 degrees from the positive x-axis, then he walks 20 1120 m…

A:

Q: A surveyor measures the distance across a straight river by the following method: Starting directly…

A: Given that                  x = 110 m           and θ = 31.2°

Q: A postal employee drives a delivery truck 1.25 miles north, then 4.44 miles east, then 3.58 miles…

A: Consider the scale image:

Q: Starting in Albany, you travel a distance 130 miles in a direction 15.8 degrees north of west. Then,…

A: Analyze the diagram of the given situation. Note: The direction in east and north is taken to be…

Q: 21) What is the height of the building to the nearest thousandths? O A. 200 m OC. 0.003 m O D.…

A:

Q: The Great Pyramid of Giza is 139 m tall, with a slope of 51.8°. If you were to climb the pyramid…

A:

Q: An airplane flies 200 km due west from city A to city B and then 260 km in the direction of 35.0°…

A: Given that, An airplane flies 200 km due west from city A to city B and then 260 km in the direction…

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

A: The vector representation of the location is given below,

Q: Chicago 21.0° 560 mi 730 mi Atlanta Dallas 5.00

A: First displacement vector, d⇀=730cos5i^+sin5j^=(727i^+63.62j^) miles Second displacement vector.…

Q: Starting in Albany, you travel a distance 221 miles in a direction 35.4 degrees north of west. Then,…

A:

Q: In the sum A→+B→=C→, vector A→ has a magnitude of 13.4 m and is angled 44.9° counterclockwise from…

A:

Q: A surveyor measures the distance across a straight river by the following method. Starting directly…

A: Consider a right angled triangle. Here, tangent theta is the ratio of opposite side to the adjacent…

Q: While playing Pokémon Go, a CLSU students walks 100.0 m, 25.0 degrees South of East from the Rizal…

A: first leg of displacement = 100 m @ 25 degree south of eastsecond leg of displacement = 150 m @35…

Q: Convert the following quantities into standard units {SI unit} 1: 100 cm2 = m2 2: 100 Miles %3D 3:…

A:

Q: A surveyor measures the distance across a straight river by the following method: Starting directly…

A: Consider the diagram of the given river.

Q: An airplane flies 200 km due west from city A to city B and then 340 km in the direction of 36.0°…

A: Given values, AB = 200 km BC = 340 km

Q: DEPENDING ON THE METHOD OF COLLECTING VECTORS AND ACCORDING TO THE INFORMATION IN THE FIGURE AND…

A: Rx=11cos90+30.5cos30+55.8cos255+9cos180=2.971 mRy=11sin90+30.5sin30+55.8sin255+9sin180=-27.64866111…

Q: To estimate the size of the moon, a person holds a round pencil of diameter 0.70 cm. When the pencil…

A: Calculate the angle subtended by the moon. θ= Diameter of pencil/distance of moon from eye    =…

Q: A surveyor measures the distance across a straight river by the following method: Starting directly…

A: The distance travelled along the blank to establish the baseline, x = 112m.The angle from the…

Q: The sketch is a cross section through the earth, showing two points that have a difference in…

A:

Q: On what quadrant is the vector -3i - 15j located? On what quadrant is the vector 3i + 15j located?…

A:

Q: A surveyor measures the distance across a straight river by the following method: Starting directly…

A: We need to calculate the width of the river given the information collected by the surveyor.

Q: A person walks 15.0° north of east for 3.90 km. How far due north and how far due east would she…

A:

Q: You found a treasure map! It said, start at the well, go 100 m straight south, then 30 m, 40 degrees…

A: Given, It said, start at the well, go 100 m straight south, then 30 m, 40 degrees North of West,…

Scalars and Vectors

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