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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

 Mar 25, 2020
 #1
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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  ] 

 

So

 

arctan (  6 / √24)  ≈  50.77°

 

cool cool cool

 Mar 25, 2020
edited by CPhill  Mar 25, 2020
edited by CPhill  Mar 25, 2020

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