Question

A satellite orbits Mars. When it reaches S, it is about 12,000 km above the planet. How many arc degrees of the planet are visible to a camera in the satellite?

Answer 1

To solve this problem, we have to use a theorem of a quadrilateral and then proceed to find the angle in which the planet is visible to the camera in the satellite. Solving this, the planet is visible to the camera at 142 degrees.

Tangential Angle in a Quadrilateral

The theorem of tangential angle in a quadrilateral states that the angle between tangent of radius is equal to 90 degrees.

Since the inside angle is 38 degrees, we can proceed to solve this problem.

Mathematically;

$90^0+38^0+90^0+x = 360\\180^0+38^0+x = 360^0\\x = 360^0 - 218^0\\x = 142^0$

From the calculation above, the planet is visible to the camera at 142 degrees.

Learn more on tangents in a quadrilateral here;

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