Question

Look at the triangle: 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 angle has length 12 centimeters and the side opposite to the acute angle has length 5 centimeters. What is the value of sin x°?
12 ÷ 13
13 ÷ 5
13 ÷ 12
5 ÷ 13

Answer 1

For this case we have:

By definition, an acute angle is less than 90º.

In addition, having a rectangular triangle, the sine of an angle is given by the leg opposite that angle divided by the hypotenuse of the triangle. So:

Observing the triangle of the attached image we have:

$Sin (x)= \frac {5} {13}$

So,$Sin (x)= \frac {5} {13}$

Answer:

$Sin (x)= \frac {5} {13}$

Option D