An observer at A looks due north and sees a meteor with an angle of elevation of 70deg. At the same instant, another observer 30miles east of A, sees the same meteor and apprroximates its position as N 50deg W but fails to note its angle of elevation. Find the height of the meteor and its distance form A.
trigonometry - Henry, Tuesday, August 10, 2010 at 12:26pm
The line of sight of the 2nd observer
is represented by the hypotenuse of a rt triangle, and the height of the
meteor is represented by the ver. side
of the rt triangle.The acute angle bet.
ween the ver. side and hyp. = 50 deg.
The angle of elevation is equal to the
other acute angle or 40 deg.
Tan(40) = h/30,
h =30*Tan(40) = 25.2 =height of
Tan(70) = 25.2 / d,
d = 25.2/Tan(70) = 9.2 = distance of
trigonometry - Henry, Tuesday, August 10, 2010 at 12:36pm
Sin(70) = 25.2/d,
d = 25.2/Sin(70) =26.8.