Question

find ( mangle i ).
write your answer as an integer or as a decimal rounded to the nearest tenth.
( mangle i = )

Explanation:

Step1: Identify trigonometric ratio

We use tangent: $\tan(\angle I) = \frac{\text{opposite}}{\text{adjacent}} = \frac{HJ}{IJ}$

Step2: Substitute given values

$\tan(\angle I) = \frac{10}{4} = 2.5$

Step3: Calculate angle measure

Use inverse tangent: $\angle I = \arctan(2.5)$
Calculate: $\arctan(2.5) \approx 68.2^\circ$

Answer:

$68.2$