SOLUTION: the ratio of the base of an isosceles triange to its altitude is 3:4. Find the measures of the angles of the triangle

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Question 835817: the ratio of the base of an isosceles triange to its altitude is 3:4. Find the measures of the angles of the triangle
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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the ratio of the base of an isosceles triangle to its altitude is 3:4.
Find the measures of the angles of the triangle
:
Use the right triangle formed by half the base and the altitude
Find one of the equal angles using it's tangent
tan(A) = 4%2F1.5
A & B = 69.444 degrees
Find the 3rd angle
C = 180 - 2(69.444) = 41.112 degrees