1 l Twn straight roads diverge al angle oi 55 Twa ews leave

#1

l, Twn straight roads diverge al angle oi 55. Twa ews leave th interse ion a M., one tinveling al mph and Ilie ather ai 30 tndt. Haw far the wns P.M.? Find the exact value of the expressia never defined: aresin sin

Solution

65 degrees. at 2:30 means that it is 1/2 hour.

Car A travels 25 miles and car B travels 15 miles after 30min.

Using cosine law,

a^2 = b^2 + c^2 - 2bc COS A where a = distance between them and A = 65 deg. b = 25 and c= 15
a^2 = 25^2 + 15^2 - 2(25)(15)cos 65
a^2 = 533.036
a = sqrt (533.036)
a = 23.0875
a~ 23.1