This question references to this diagram- http://img299.imageshack.us/my.php?image=diagram8ck9.png
Now for the question-
Use r = 6378 km and c = 89º to calculate the distance from the centre of the earth (c) to the moon.
2007-02-14 20:15:49 · 3 answers · asked by shamonashangout 2 in Science & Mathematics ➔ Mathematics
* then calculate the distance between the earth and the moon.
2007-02-14 20:20:29 · update #1
CM is the distance they ask us to calculate. Notice that from the angle C, the right triangle's adjacent side's length is r, and the hypotenuse is CM. So cos(89) = r/CM. You know the value of r, and you can use a calculator to find cos(89), so solve this equation for CM.
2007-02-14 20:22:41 · answer #1 · answered by Anonymous · 2⤊ 0⤋
Triangle MBC is right angle with
angle MCB = 89 degree
angle MBC = 90 degree
angle BMC = 180 - 90 - 89 = 1 degree
CM / sin 90 = r / sin 1
CM = 6378 / 0.01745
CM = 365451 km
Distance from center of earth to moon
= 365451 km
2007-02-14 20:23:39 · answer #2 · answered by seah 7 · 0⤊ 0⤋
d = 6378/cos(89) = 365,451 km
d2 = 365,451 - 6378 = 359,073 km
2007-02-14 20:37:10 · answer #3 · answered by Helmut 7 · 0⤊ 0⤋