Respuesta :
Answer:
sinx°=12÷13
Step-by-step explanation:
We are given a right angle triangle 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.
Then the value of sin x°=Perpendicular/hypotenuse
(Perpendicular i.e. side opposite to angle x)
= 12÷13
Using relations in a right triangle, it is found that the sine of x is given by:
12 ÷ 13
What are the relations in a right triangle?
The relations in a right triangle are given as follows:
- The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
- The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
- The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
In this problem, the hypotenuse is of 13 centimeters, while the opposite side to angle x is of 12 centimeters, hence:
sin x = 12 ÷ 13
More can be learned about relations in a right triangle at https://brainly.com/question/26396675
