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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? Round your answer to the nearest tenth of a degree.

 Feb 23, 2020

Best Answer 

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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? Round your answer to the nearest tenth of a degree.

 

Die Hypotenuse eines rechtwinkligen Dreiecks misst 2 \(\sqrt{15}\) Zentimeter und die kürzere Kathete 2 \(\sqrt{6}\)Zentimeter. Was ist das Maß für den größeren spitzen Winkel des Dreiecks? Runden Sie Ihre Antwort auf das nächste Zehntel eines Grades.

 

Hello valval2205!

 

A right triangle ABC

\(c=2\cdot \sqrt{15}\ cm\\ b=2\cdot \sqrt{6}\ cm\)

\(\alpha=arccos(\frac{b}{c})=arccos(\frac{\sqrt{6}}{\sqrt{15}})\)

\(\alpha=50.8^o\)

laugh  !

 Feb 23, 2020
edited by asinus  Feb 23, 2020
edited by asinus  Feb 23, 2020
 #1
avatar+9789 
+3
Best Answer

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? Round your answer to the nearest tenth of a degree.

 

Die Hypotenuse eines rechtwinkligen Dreiecks misst 2 \(\sqrt{15}\) Zentimeter und die kürzere Kathete 2 \(\sqrt{6}\)Zentimeter. Was ist das Maß für den größeren spitzen Winkel des Dreiecks? Runden Sie Ihre Antwort auf das nächste Zehntel eines Grades.

 

Hello valval2205!

 

A right triangle ABC

\(c=2\cdot \sqrt{15}\ cm\\ b=2\cdot \sqrt{6}\ cm\)

\(\alpha=arccos(\frac{b}{c})=arccos(\frac{\sqrt{6}}{\sqrt{15}})\)

\(\alpha=50.8^o\)

laugh  !

asinus Feb 23, 2020
edited by asinus  Feb 23, 2020
edited by asinus  Feb 23, 2020

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