Question

What is measure of angle C?

Answer 1

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 $\tan\theta =\frac{Perpendicular}{base}$  

Here, for angle C we have base = 4 cm  and perpendicular = 3 cm

Thus,  $\tan C =\frac{3}{4}$

Taking $\tan ^{-1}$ both side, we have,

$\tan ^{-1}(\tan C)=\tan ^{-1}(\frac{3}{4})$

$C=\tan ^{-1}(\frac{3}{4})$

$C=36.86^{\circ \:}$

Thus, The measure of angle C is 36.86°

Answer 2

Answer: 36.87

Step-by-step explanation:

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