Question

Jack walks 30 miles at 30 degrees north of east, then walks 30 miles at 45 degrees north of east. how many miles east of his starting point will he end up?

Answer 1

Hello there.

Jack walks 30 miles at 30 degrees north of east, then walks 30 miles at 45 degrees north of east. how many miles east of his starting point will he end up?
59.47 miles

Answer 2

We are given with the distance traveled and the direction
30 miles at 30 degrees north of east
30 miles at 45 degrees north of east
You calculate the horizontal and vertical component using these equations
x = d cos θ
y = d cos θ

where d is the distance traveled

Then, you get the distance from the starting point using the formula
D = √[(∑x)² + (∑y)²]

The answer is
59.47 miles