find ( mangle j ).\n\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\n(…
find ( mangle j ).\n\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\n( mangle j = square^circ )
Answer
Explanation:
Step1: Identify sides for ∠J
Opposite side to ∠J: $HI = 6$, Hypotenuse: $HJ = 8$
Step2: Use sine function for ∠J
$\sin(\angle J) = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{6}{8}$
Step3: Calculate inverse sine
$\angle J = \arcsin\left(\frac{6}{8}\right) = \arcsin(0.75)$
Step4: Compute the angle value
Using a calculator, $\arcsin(0.75) \approx 48.6^\circ$
Answer:
$48.6$