The hypotenuse of a right triangle measures 2√15 centimeters and its shorter leg measures 2√6 centimeters. What is the measure of the larger acute angle of the triangle?
please clarify if i should use cos or tan
2√15 = √60
2√6 = √24
So....the other leg measures √ [ 60 - 24 ] = √36 = 6
The larger angle will be opposite this side
We need the arctan here [ remember that the inverse functions return an angle value ]
arctan ( 6 / √24) ≈ 50.77°