Answer:
17.25 km N37.9°E
Step-by-step explanation:
The way to solve this is to determine the vertical and horizontal distances traveled.
The bearing means 45° east of north.
Vertically, the car travels a distance of:
y = 3 + 15 cos 45°
y = 3 + 7.5√2
y ≈ 13.6
Horizontally, the car travels a distance of:
x = 15 sin 45°
x = 7.5√2
x ≈ 10.6
The total distance we find with Pythagorean theorem:
d = √(x² + y²)
d = √(10.6² + 13.6²)
d ≈ 17.25
The bearing from north we find with tangent:
tan θ = x / y
tan θ = 10.6 / 13.6
θ ≈ 37.9°
