Question:
Solution:
Considering the data of the problem, we can use the following trigonometric identity:
[tex]\sin (x)\text{ = }\frac{opposite\text{ side}}{hypotenuse}\text{ = }\frac{15}{26}[/tex]
this is equivalent to:
[tex]\sin (x)\text{ = }\frac{15}{26}=\text{ 0.576}\approx0.58[/tex]
Now, applying the inverse function of the sine function, we obtain:
[tex]x=\sin ^{-1}(\sin (x))\text{ =}\sin ^{-1}(0.58)\text{ = 35.234}[/tex]
then, we can conclude that the correct answer is:
[tex]x=\text{35.234}[/tex]
