Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Find the value of Y.

Find The Value Of Y class=

Sagot :

sqdancefan

Answer:

  5√3

Step-by-step explanation:

The ratio of side lengths in a 30-60-90 triangle is ...

  1 : √3 : 2

__

Multiplying by 5, we have ...

  1 : √3 : 2 = x : y : 10 = 5 : 5√3 : 10

The value of y is 5√3.

_____

Additional comment

y is the side adjacent to the 30° angle, so can be found from ...

  Cos = Adjacent/Hypotenuse

  Adjacent = Cos × Hypotenuse . . . . . multiply by hypotenuse

  y = cos(30°)×10 = (√3)/2 × 10 . . . . . . substitute corresponding values

  y = 5√3

__

The value of x is 5.

unicornetfairies

Angle 60

Opposite - y

Hypotenuse - 10

OH - SOH

Sin60 = o/h

Sin60 = o/10

x10

O = sin60 x 10

O = 5 root 3

= 8.660254....

So, value of y = 8.66 to 2d.p

Hope this helps!

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.