Post a New Question

Trig

posted by on .

A ship leaves port with a bearing of S 40 W. After traveling 7 miles, the ship turns 90 degrees on a bearing of N 50 W for 11 miles. At that time, what is the bearing of the ship from port?

  • Trig - ,

    using the usual trig orientation, with due East as 0°

    S40W = 220°
    N50W = 140°

    so,starting at (0,0) after the first 7 miles, the ship is at (7cos220°,7sin220°) = (-5.36,-4.50)

    Next from there it proceeds another (11cos140°,11sin140°) = (-8.43,7.07)

    It is now at (-13.79,2.57)
    distance = 14.03 miles
    tanx = 2.57/-13.79 = 180-10.55°
    bearing from port is W10.55°N

Answer This Question

First Name:
School Subject:
Answer:

Related Questions

More Related Questions

Post a New Question