A right angle triangle is shown with hypotenuse equal to 13 centimeters. An acute angle of the triangle is labeled as x degrees. The side adjacent to the acute
Question
What is the value of sin x°?
2 Answer

1. User Answers Homeworkslayer69
sin = opposite/hypotenuse
so sin (x) = 12/13
answer is 12/13 
2. User Answers eljimenezf
Answer:
the right answer is 12/13= 0.92
Stepbystep explanation:
with the data given we have:
with the picture, we already have an idea of the data, and the question asks us to find the sin of x, remembering [tex]sin=[/tex] [tex]\frac{opposite}{hypotenuse}[/tex]
so we need to find the value of the opposite
Using the Pythagoras theorem [tex]opposite^{2}[/tex]+[tex]adjacent^{2}[/tex]= [tex]hypotenuse^{2}[/tex]
rewriting
[tex]opposite^{2}[/tex]=[tex]hypotenuse^{2}[/tex][tex]adjacent^{2}[/tex]
opposite= [tex]\sqrt{hypotenuse^{2}adjacent^{2}}[/tex]
replacing we have
opposyte= [tex]\sqrt({13^{2} } 5^{2})[/tex]
opposyte=[tex]\sqrt{16925}[/tex]
opposyte= [tex]\sqrt{144}[/tex]
opposyte= 12
now replaced in the formula of sin we have
[tex]sinx=[/tex][tex]\frac{opposite}{hypotenuse}[/tex]
sinx=12/13
sinx=0.92