right triangle angles

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if my right triangle has a base on 10, opposite of 30, hypotenuse of 31.62, what are the other two angles?

Guest Feb 17, 2015

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Best Answer

We can find one of the angles by taking the tangent inverse of (30/10) = 3....this will be the acute angle on the base

So we have

tan^-1 (3) = 71.565°

And, of course the other angle (the angle at the apex) is just this value subtracted from 90.......

CPhill Feb 17, 2015

CPhill · Answer 1 · 2015-02-17T10:10:51

We can find one of the angles by taking the tangent inverse of (30/10) = 3....this will be the acute angle on the base

So we have

tan^-1 (3) = 71.565°

And, of course the other angle (the angle at the apex) is just this value subtracted from 90.......