Answer:
The measure of angle C is 36.86°
Step-by-step explanation:
Given : A right angled triangle with right angle at B.
We have to find the measure of angle C.
Consider the given right triangle.
Using trigonometric ratio,
Since, we know tangent is the ratio of perpendicular to base
Using [tex]\tan\theta =\frac{Perpendicular}{base}[/tex]
Here, for angle C we have base = 4 cm and perpendicular = 3 cm
Thus, [tex]\tan C =\frac{3}{4}[/tex]
Taking [tex]\tan ^{-1}[/tex] both side, we have,
[tex]\tan ^{-1}(\tan C)=\tan ^{-1}(\frac{3}{4})[/tex]
[tex]C=\tan ^{-1}(\frac{3}{4})[/tex]
[tex]C=36.86^{\circ \:}[/tex]
Thus, The measure of angle C is 36.86°
