Two points are given in polar coordinates by (r, θ) = (1.60 m, 50.0°) and (r, θ) = (6.60 m, -70.0°), respectively. What is the distance between them

A team is exploring a tresure. They start at the entrance of a national park and makes the following straight line movements: 68 m, north, 50 m, 25° north of west (155° CCW) 34 m, west 42 m, 17° south of east (343° CCW) Determine their position relative to the entrance of the national park.   Can this be explained with a lot of detail in irder to understand.

You go on a long hike by first walking 25 km southeast (i.e., 45° south of east) from your car. You then stop and camp for the night. On the second day, you walk 40 km in a direction 60° north of east. In what direction, as measured from the position of your car, is your final position? (Give your answer to the nearest degree.)

After enjoying a big sandwich at Katz's Delicatessen, you decide to walk back to your luxury suite at the Waldorf-Astoria Hotel. First, you perambulate 0.15 mi at a polar angle of 160 degrees 0.15 mi angle 160^ ) . Next, you skedaddle 1.60 mi at a polar angle of 55 degrees (1.60 mi angle55^ ) . You follow this with a 0.55 mi jaunt at a polar angle of 150 degrees (0.55 mi angle150^ ) Finally, you be-bop 0.82 mi at a polar angle of 60 degrees (0.82 mi angle 60^ ) . What is the overall displacement from your starting point at Katz's Delicatessen? Express your answer in polar notation.

The x and y coordinates of point P are (-8.50 m, -7.00 m). What is the magnitude of point P?

In the sum A + B = C, v A has a magnitude of 13.7 m and is angled 49.0° counterclockwise from the +x direction, and vector has a magnitude of 15.8 m and is angled 24.1° counterclockwise from the -x direction. What are (a) the magnitude and (b) the angle (relative to +x) of B? State your angle as a positive number. (a) Number i (b) Number i vector Units Units

If vector a= (-15,-3h,3k), vector B= (-2h, 14, -k) and vector c= (-1,-5,0) determine the values of h and k such that a_|_b and a_|_c.

Suppose A = (-2.33 m)i + (3.79 m)j, B = (2.87 m)i + (-4.8 m)j + (2.18 m)k, and D = (-2.99 m)i + (-4.24 m)j..  What is the angle, in degrees, between D and A

Suppose A = (-2.82 m)i + (4.13 m)j, B = (1.46 m)i + (-4.97 m)j + (1.68 m)k, and D = (-4.75 m)i + (-5.96 m)j. What is the angle, in degrees, between D and A?    What is the angle, in degrees, between D and B?