Answer:
Resultant speed = 12 km/h.
Bearing is 107.14 degrees.
Step-by-step explanation:
This can be represented by a triangle of velocities with lengths 15 and 5 with the included angle = 45 degrees.
To find the velocity of the resultant we use cosine rule:
v^2 = 15^2 + 5^2 - 2*5*15cos 45
v^2 = 143.934
v = 12.0 km/h to the nearest tenth.
To find the bearing we use the sine rule to find the angle down from due east>
12 / sin 45 = 5/ sin x
sin x = 5 sin 45 / 12 = 0.2946278
x = 17.14 degrees.
Bearing is therefore 90 + 17.14 = 107.14 degrees.
