The crew of the U.S. S. Enterprise has landed on an unknown planet whose circumf

Question

The crew of the U.S. S. Enterprise has landed on an unknown planet whose circumference they need to determine. They have taken the following data to accomplish this: At the landing site, at noon on Summer Solstice day, the planet's sun is 5.0 degrees off from the directly overhead direction in the sky. At the same time, 700 miles due South, the planet's sun is exactly directly overhead. From this data, the circumference of the planet must be approximately?

2) A star is observed from a satellite-based telescope that orbits the Earth in a low-altitude orbit. The parallax angle of the star as determined from two such observations made six months apart in time is  2 x 10-8 radians. From this information, the distance to the star is approximately?

3) A speed of 65 miles per hour is the same as     

Explanation / Answer

1. 700 * 360/5 = 50400 miles

2. 2 x 10^-8 radian = 2.29183 x 10^-6 degree

    distance between the two points = 149,600,000 km

    distance of star from Earth = (149,600,000 / 2) / sin(2.29183 x 10^-6) = 1.87 x 10^15 Km

3. doesnt get your question...

    65 mph = 104.60736 Kmph or 29.0576 meter/sec.

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