httpswwwmathxlcomStudentplayerHomework aspxhomeworkld 377186

https//www.mathxl.com/Student/playerHomework aspx?homeworkld 377186249&questionld; 48 flushed false&clda40464108kcenterwin; eyes 16FA MAT 172-DY01 TaylorL TTh11:00 AM S617 Homework: Homework #9 Sections 8.5 and 8.6 Score: 0 of 1 pt 6 of 21 complete) HW Score: 11.9%. 2.5 of 21 pts 8.5.29 An airplane has an airspeed of 127 kmh. The direction of its tack, or course, is 65\" while a 21-kmh wnd is blowing from 335. what must the airplane\'s actual bearing be to maintain this current track? The actual bearing will be Type an integer or a decimal rounded tothe nearest tenth as needed.) Enter your answer in the answer box and then cllck Check Answer nd All parts showing

Solution

A = <127cos65, 127sin65> = <53.6725, 115.1011>

W = <21cos335, 21sin335> = <19.0325, -8.875>

A + W = <72.705, 106.2261>

|A+W| = sqrt(72.705² + 106.2261²) = 128.7245 km/h

= arctan(y/x) = arctan(106.2261/72.705) = 55.61°