Use the image below to answer the following question:

A right triangle is shown. The two angles that are not 90 degrees are marked x and y. The leg across from angle y measuring 9, another leg across from angle x measuring 12, and the hypotenuse measuring 15.

What relationship do the ratios of sin y° and cos x° share?

The ratios are both identical. (9 over 15 and 9 over 15)
The ratios are opposites. (negative 9 over 15 and 9 over 15)
The ratios are reciprocals. (9 over 15 and 15 over 9)
The ratios are both negative. (negative 15 over 9 and negative 9 over 15)

Respuesta :

Given:

Three angles of a right angle triangle are x, y and 90 degrees.

The leg across from angle y measuring 9, another leg across from angle x measuring 12, and the hypotenuse measuring 15.

To find:

The relationship between the ratios of sin y° and cos x°.

Solution:

In a right angle triangle,

[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\sin y=\dfrac{9}{15}[/tex]

In a right angle triangle,

[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]

[tex]\cos x=\dfrac{9}{15}[/tex]

Both ratios are identical.

Therefore, the correct option is A.

Answer:

The ratios are both identical. (9 over 15 and 9 over 15)

Step-by-step explanation:

Hope this helps :)