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..

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,

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

34

step-by-step explanation:

1. supplementary angles

2. acd and bcd

step-by-step explanation: