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?

Rebecca walks 466 cubits due north, then 360 cubits due west and finally 791 cubits due south. How far is Rebecca from her starting point?

A map suggests that Atlanta is 730. miles in a direction 5.00°north of east from Dallas. The same map shows that Chicagois 560. miles in a direction 21.0° west of north from Atlanta.Figure P1.68 shows the location of these three cities. Modelingthe Earth as flat, use this information to find the displacementfrom Dallas to Chicago.

A vector has a horizontal component of -21 and vertical component of 46, what is the magnitude of this vector? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.

26. A map suggests that Atlanta is 730 miles in a direction of 5.00° north of east from Dallas. The same map shows that Chicago is 560 miles in a direction of 21.0° west of north from Atlanta. Modeling the Earth as flat, use this informa- tion to find the displacement from Dallas to Chicago.

Given: A: A = -16.7, A, = 37 B: Br= -0.4, By = -23.8 (a) Calculate the length and direction of A. Assume angles are measured from the +x-axis with counter-clockwise as positive angles and clockwise as negative angles. A = 0 A = (b) Calculate the length and direction of B. Assume angles are measured from the +x-axis with counter-clockwise as positive angles and clockwise as negative angles. B = OB (c) Calculate the components of the vector sum of A + B = C: CT= F Cy= (d) Calculate the length and direction of C: Assume angles are measured from the +x-axis with counter-clockwise as positive angles and clockwise as negative angles. C= Oc 0 = 0

Hiker Harry walks 4 km east then 7 km 25o north of west. What is the magnitude and direction of Harry’s position after his hike as measured from his starting point? Give the angle measured relative to east. For example 90° means directly north.

What is the magnitude, X (in m2), of the cross product of a vector of magnitude 7.2 m vector pointing east and a vector of magnitude 4.4 m pointing 25° west of north? Enter only the number, not the units below

A person walks 30.0 north of east for 3.80km. How far due north and how far due east would she have to walk to arrive at the same location?

The pilot of a private plane flies 20.0 km in direction 60° north of east, then 30.0 km straight east, then 10.0 km straight north. How far and in what direction is the plane from the starting point? Show the Figure/FBD, given, formula and scale drawing used