A right triangle has an opposite of 6 meters and an adjacent of 8 meters. Find the angle measures

Question

I need help please!

Answer 1

SOHCAHTOA

 

You are given the opposite and the adjacent so you would use tangent.

 

Tan = Opp / Adj

= 6/8

= .75

 

So the angle is the inverse tangent of .75 or tan^-1(.75) = 36.9

 

All angles in any triangle add up to 180 degrees, of which one of them is 90 since it is a right triangle. So your other angle is 90 - 36.9 or 53.1.

 

So your two angles are 36.9 and 53.1

Answer 2

If the opposite is 6 and the adjacent is 8, that means that the tangent of that angle is 6/8 or .75. The arctan (or inverse tangent) of .75 is 36.9 degrees. That is one of your angles.

 

Since it's a right triangle, the other angle is 90 degrees. The third angle is 180-90-36.9=53.1 degrees.