Answer:
(a) 2.42 km
(b) 119.74°
Explanation:
(a)
The shortest distance from starting to end point is the hypotenuse
[tex]C=\sqrt{a^{2}+b^{2}}[/tex]
Where a is is base and b is height. Substituting 1.2 km for a and 2.1km for b then
[tex]C=\sqrt{1.2^{2}+2.1^{2}}=2.41867732448956 km\approx 2.42 km[/tex]
(b)
The angle is given by the [tex]\theta[/tex] as indicated in the sketch
[tex]\theta=\frac {2.1}{1.2}=60.2551187030578\approx 60.26^{\circ}[/tex]
Towards East it will be 180-60.26=119.74°