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Radius of the Earth, R = 6370 km.

April 21, 2026Mathematics

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Here's how to solve the problem step-by-step:

Given:
Radius of the Earth, $R = 6370$ km.
Speed of plane S = 420 knots.
Points:
P( $40^\circ$ N, $45^\circ$ W)
Q( $40^\circ$ N, $45^\circ$ E)
T( $35^\circ$ N, $135^\circ$ E)

a) Find the distance from P to Q in km.

Determine the difference in longitude ( $\theta$ ) between P and Q.
P is at $45^\circ$ W and Q is at $45^\circ$ E. Since they are on opposite sides of the Prime Meridian, we add their longitudes.
$\theta = 45^\circ + 45^\circ = 90^\circ$
Identify the latitude ( $\alpha$ ) for P and Q.
Both P and Q are at $40^\circ$ N latitude.

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Radius of the Earth, R = 6370 km.

Step-by-step solution

Determine the difference in longitude (θ\thetaθ) between P and Q.

Identify the latitude (α\alphaα) for P and Q.

Still stuck on this one?

More Mathematics Questions

Determine the difference in longitude ( $\theta$ ) between P and Q.

Identify the latitude ( $\alpha$ ) for P and Q.