What is measure of angle C? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

Question

asked Sep 18, 2018 173k views

2 Answers

Evan · Answer 1 · 2018-09-23T14:57:31+0000

Answer:

The measure of angle C is 36.86°

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
$\tan\theta =(Perpendicular)/(base)$

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

Thus,
$\tan C =(3)/(4)$

Taking
$\tan ^(-1)$ both side, we have,

$\tan ^(-1)(\tan C)=\tan ^(-1)((3)/(4))$

$C=\tan ^(-1)((3)/(4))$

$C=36.86^(\circ \:)$

Thus, The measure of angle C is 36.86°