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 o
rigin. Step by step..explanation..Please
1 answer:
The distance of plane from the origin is 357.14 miles
<u>Explanation:</u>
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 the plane from the origin is 357.14 miles
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