Aright 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 angle has length 5 centimeters and the side opposite to the acute angle has length 12 centimeters.

what is the value of sin x°?

the right answer is 12/13= 0.92

Step-by-step 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

so we need to find the value of the opposite

Using the Pythagoras theorem +=

rewriting

=-

opposite=

replacing we have

opposyte=

opposyte=

opposyte=

opposyte= 12

now replaced in the formula of sin we have

sinx=12/13

sinx=0.92