find $m\\angle d$.\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\n$m\\angle…
find $m\\angle d$.\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\n$m\\angle d = \\square^\\circ$\nsubmit
Answer
Explanation:
Step1: Identify opposite/ hypotenuse
For $\angle D$, opposite side $BC=4$, hypotenuse $BD=10$.
Step2: Apply sine inverse formula
$\sin(\angle D) = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{4}{10}$ $\angle D = \sin^{-1}\left(\frac{4}{10}\right)$
Step3: Calculate angle value
$\angle D = \sin^{-1}(0.4) \approx 23.6^\circ$
Answer:
$23.6$