Substended angle, rotational kinematics

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SUMMARY

The discussion focuses on calculating the distance traveled by a jet as it crosses in front of the moon, which substends an angle of 9.04 x 10-3 radians from an observer's perspective at a distance of 18.0 km (or 18,000 meters). Using the formula Θ = s/r, where Θ is the angle in radians, s is the arc length, and r is the radius, the distance traveled (s) is calculated as 162.7 meters. The discussion confirms that the unit of s is indeed meters when applying this equation.

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  • Knowledge of basic trigonometric equations
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A jet is circling an airport control tower at a distance of 18.0 km. An observer in the tower watches the jet cross in front of the moon. As seen from the tower, the moon substends an angle of 9.04 x 10-3 radians. Find the distance traveled (IN METERS) by the jet as the observer watches the nose of the jet cross from one side of the moon to the other.


2. Homework Equations and Givens
Θ = s/r
Θ = 9.04 x 10-3 radians
r = 18000 m

S = rΘ = (18000*9.04x10-3)
S = 162.7 units??

When I plug in these values into the equation Θ = s/r we have:
1. Θ in radians
2. r in meters
3. Is the unit of S always in meters when applied to this equation?

I have looked from the beginning of the chapter to the end, word for word, and cannot find the answer to my question.
 
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