Solution:
Given that,
hypotenuse 12
Opposite 7
Find the measure of angle y
y is unknown and is between the hypotenuse and adjacent side
The figure is attached below
In a right triangle, the sine of the angle is the ratio of the side opposite to the angle to the hypotenuse
Therefore,
[tex]sin\ y = \frac{opposite}{hypotenuse}\\\\sin\ y = \frac{7}{12}\\\\sin\ y = 0.5833\\\\y = sin^{-1}\ 0.5833\\\\Use\ arcsin\ calculator\\\\y = 35.6829 \\\\y \approx 35.68[/tex]
Thus measure of angle y is 35.68 degrees
Answer:
35.69
Step-by-step explanation:
sin x= 7/12. Do the oppisite so, sin^-1(7/12. This gives you35.68533471. round to the nearest hundreath to get 35.68. Sorry if I spelled anything wrong.
