Question

Use a special right triangle to find the value of y. Write as a decimal rounded to the nearest 10th

Answer 1

Given:

The figure of a right angle triangle.

To find:

The value of y.

Solution:

in a right angle triangle,

`\sin \theta=(Opposite)/(Hypotenuse)`

In the given right triangle,

`\sin 60^\circ=(6)/(y)`

`(√(3))/(2)=(6)/(y)`

On cross multiplication, we get

`√(3)y=12`

`y=(12)/(√(3))`

`y=(12√(3))/(3)`

`y=4√(3)`

Therefore, the value of y is
`4√(3)` units.