Question

A plane flies due south for 600 miles. It turns and flies 250 miles , 35 degrees east of south. How far is the plane from it’s origin. Step by step..explanation..Please

Answer 1

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,

$0.7 = \frac{250}{x} \\\\x = \frac{250}{0.7} \\\\x = 357.14 miles$

Therefore, the distance of the plane from the origin is 357.14 miles