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..

Respuesta :

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 plane from the origin is 357.14 miles

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