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Solve for the resultant displacement and angle of R.
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- A=48N due West ,B=35N due North,C=50N N33°E, D=62N S 25.5° W ,E=70N W57°S find the Resultant of A+B, C+E and A+B+C+D+EGlasgow, Montana is 1465.18 km north of Albuquerque, New Mexico on the same north-south line. If Albuquerque’s latitude is 35.08oN and the radius of the Earth is 6400 km, what’s the latitude for Glasgow?Answers are a) Bx = -2 & By = 2 b) 2.83, 135 degree counter clockwise How do you get these values?
- The line from a point 150 feet from the base of a redwood tree to the top of the tree is 211 feet. If the angle of elevation to the top of the tree is 54.6 degrees, find the height of the tree in trigonometric form. a) 0211 sin(54.6) [ft.] b) O150 sin(54.6) [ft.] c) 0211 tan(54.6) [ft.] d) O150 cos(54.6) [ft.] e) ONone of the aboveThe height of a certain hill (in feet) is given by h(x, y) = 10 (2xy - 3 x^2 - 4y^2 -18x +28y + 12), where y isthe distance in miles (north), x the distance east of South Hadley, Massachusetts.a.) Where is the top of the hill located? b.) How high is the hill? c.)How steep is the slope (in feet per mile) at a point 1 mile north and one mile east of South Hadley? Inwhat direction is the slope steepest, at that point? d.) Make a contour map and a 3D plot of the area surrounding South Hadley, from 8 miles west to 4 mileseast, and 2 miles south to 8 miles north. Plot only positive heights on the 3D graph; use If to help youout9. The displacement vectors and B shown in Figure P3.9 magnitudes А both have of 3.00 m. The direction of vec- B tor A is 0 = 30.0°. Find gra- phically (a) A+ В, (Ь) А— В, (c) В — А, аnd (d) A — 2В. (Report all angles counterclock- wise from the positive x axis.) -
- is it 800kgm/s straight west or east?What is the surface integral in m2 a cube of side (3.71x10^1) cm?10: An airplane flew from Manila( 121o30' E, 14o N ) on a course of S 30o W and maintaining a uniform altitude. At what longitude will the plane crosses the equator? Select one: a. 113o 33' E b. 110o 28' E c. 114o 41' E d. 112o 38' E
- 4. How many significant figures are in the following numbers? (a) 70.9 (b) 3.788×10° (c) 0.4031026 (d) 0.0353 А-3 В-4 C-7 D-226. 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.Earth is approximately a sphere of radius 6.37 × 106 m. What are (a) its circumference, (b) its surface area, and (c) its volume?