Respuesta :

Answer:

x = 20

y = √3 / 10

Step-by-step explanation:

The cosine ratio gives the ratio between the adjacent side and the hypotenuse.

The sine ratio gives the ratio between the opposite side and the hypotenuse.

Taking cosine ratio to find x :

cos 60° = 10/x

1/2 = 10/x

x = 20

Taking sine ratio to find y :

sin 60° = y/x

√3 / 2 = y/20

y = √3 / 10

Answer:

x= 20 ,  y= 10√3

Step-by-step explanation:

This question is clearly a trigonometry question

Please bare in mind :

Cos 60 = 1/2

Sin 60 = √3/2

Tan 60 = √3

Side x is the hypotenuse (h)

Side y is the Opposite (o)

And side with length of 10 is adjacent (a)

To find x, we have a, and we need h

So we use C = a/h

Cos 60 = 10/h

h = 10/Cos 60

h = 10/0.5

h = 20 ,  x=20

To find y, we can use pythagaros as we found the value of x :

10² + y² = x²

10² + y² = 20²

y² = 20²-10²

y² = 300

y = √300

y= √100×3   y=√100 × √3

y = 10√3

This is our y value

Another way to find y is trigonometry :

We have a and we need o so we use :

T = o/a

Tan 60  = o/10

o = 10×tan 60

o = 10×√3

o = 10√3 ,  y=10√3

Sorry for not being urgent but give brainliest please