Question

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 the nearest tenth of a mile?

Answer 1

Answer:
`17.4\ \text{miles}`

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* 0.669\\\\\Rightarrow x=17.4\ \text{miles}`