Given:
A right triangle with legs 5 units and 6 units.
To find:
The measure of angle opposite of side whose length is 5 units.
Solution:
In a right angle triangle,
[tex]\tan \theta=\dfrac{Opposite}{Adjacent}[/tex]
Let [tex]\theta [/tex] be the missing angle. Then, for the given triangle,
[tex]\tan \theta=\dfrac{5}{6}[/tex]
[tex]\theta=\tan^{-1}\dfrac{5}{6}[/tex]
[tex]\theta=39.805571^\circ[/tex]
Round the value to the nearest degree.
[tex]\theta\approx 40^\circ[/tex]
Therefore, the measure of the required angle is 40 degrees.
