Respuesta :

Answer:

x ≈ 25.1

Step-by-step explanation:

Using the sine ratio in the right triangle

sin26° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{11}{x}[/tex] ( multiply both sides by x )

x × sin26° = 11 ( divide both sides by sin26° )

x = [tex]\frac{11}{sin26}[/tex] ≈ 25.1 ( to 1 dec. place )

"Correct" Answer:

53

Step-by-step explanation:

It's automadically 90 degrees because it's an acute angle, so you add 11 + 26 which gives you 37. Subtract 90 from 37 and it gives you 53, the variable.

26 + 11 = 37

90 - 37 = 53