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Find the measure of the indicated angle to the nearest degree.

Find The Measure Of The Indicated Angle To The Nearest Degree class=

Sagot :

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.

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