Question

Find the value of Y.

Answer 1

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!

Answer 2

Answer:

  5√3

Step-by-step explanation:

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

  1 : √3 : 2

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Multiplying by 5, we have ...

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

The value of y is 5√3.

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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

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The value of x is 5.