A plane has traveled 26 miles on a course heading 48º east of north. How far north (x) has the plane traveled at this point, to

Question

3 years ago

7

the nearest tenth of a mile?

1 answer:

GrogVix [38] · Answer 1 · 2022-09-02T10:05:07+03:00

3 0

Answer: $17.4\ \text{miles}$

Step-by-step explanation:

Given

A plane has traveled 26 miles on a course heading $48^{\circ}$ east of north

Taking the component of travel in North direction

The distance traveled in North is given by with the help of figure

$\Rightarrow x=26\cos 48^{\circ}\\\\\Rightarrow x=26\times 0.669\\\\\Rightarrow x=17.4\ \text{miles}$