Solve the problem. Round answers to the nearest tenth if necessary.An alien observer on Planet X can approximate distances in the sky by using his "hand" at arm's length. An outstretched hand is about 35 arc degrees, a clenched fist is about 25 arc degrees, and a thumb corresponds to about 1 arc degree. (i) If one clenched fist plus one outstretched hand covers the distance between two stars, about how far apart in arc degrees are the stars? (ii) The apparent size of Moon X as observed from Planet X is about 21 arc minutes. Approximately what part of an observer's thumb would cover Moon X?

A. (i) 50 arc degrees; (ii) approximately  of a thumb
B. (i) 61 arc degrees; (ii) approximately  of a thumb
C. (i) 26 arc degrees; (ii) approximately  of a thumb
D. (i) 60 arc degrees; (ii) approximately  of a thumb


Answer: D

Mathematics

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