A cruise ship travels 240 miles due east before turning 34 degrees north of east. It travels 100 miles along its new course How far is the cruise ship from its initial position?
To find the distance of the cruise ship from its initial position, we need to calculate the hypotenuse of the right triangle formed by the two legs of the ship's journey.
The distance traveled due east (leg 1) = 240 miles
The distance traveled 34 degrees north of east (leg 2) = 100 miles
To find the distance from the initial position:
Distance = √(leg1^2 + leg2^2)
Distance = √(240^2 + 100^2)
Distance = √(57600 + 10000)
Distance = √67600
Distance ≈ 260 miles
Therefore, the cruise ship is approximately 260 miles from its initial position.