The distance of plane from the origin is 357.14 miles
Explanation:
Given:
distance traveled southwards, y = 600 miles
Distance traveled east of south, z = 250 miles
Angle, θ = 35°
Distance of plane from the origin, x = ?
The figure is attached for reference:
tan θ = Perpendicular / base
tan θ = distance travelled east of south / x
tan 35° = 250 / x
we know,
tan 35° = 0.7
So,
[tex]0.7 = \frac{250}{x} \\\\x = \frac{250}{0.7} \\\\x = 357.14 miles[/tex]
Therefore, the distance of the plane from the origin is 357.14 miles
