Question

Oasis B is a distance d = 8.0 km east of oasis A, along the x axis shown in the figure. A confused camel, intending to walk directly from A to B instead walks a distance W1 = 21 km west of due south by angle θ1 = 15.0°. It then walks a distance W2 = 30 km due north. If it is to then walk directly to B, (a) how far (in km) and (b) in what direction should it walk (relative to the positive direction of the x axis within the range (-180°, 180°])?

Answer 1

d = 21km@255o + 30km@90o + 8km@0o.

X = hor. = 21*cos255 + 8 = 2.56 km.
Y = Ver. = 21*sin255 + 30*sin90=9.72 km.

a. d^2=X^2 + Y^2=(2.56)^2 + (9.72)^2=101
d = 10.1 km.

tanA = Y/X = 9.72/2.56 = 3.79688
A = 75.2o,CCW = 75.2o North of East = The Direction.

Answer 2

34

Answer 3

this one up top is the wrong way of doing this problem