find ( mangle i ).\n\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\n(…

find ( mangle i ).\n\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\n( mangle i = square^circ )

find ( mangle i ).\n\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\n( mangle i = square^circ )

Answer

Explanation:

Step1: Identify the trigonometric ratio

In a right - triangle, for an angle, the tangent ratio is defined as $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. For angle $I$, the side opposite to angle $I$ is $HJ = 5$ and the side adjacent to angle $I$ is $IJ=3.8$. So, $\tan I=\frac{HJ}{IJ}$.

Step2: Calculate the angle

We know that $\tan I=\frac{5}{3.8}\approx1.3158$. Then, to find the measure of angle $I$, we use the inverse tangent function. So, $I=\tan^{- 1}(1.3158)$. Using a calculator, $I\approx52.7^{\circ}$.

Answer:

$52.7$