Question

Same as before this test... is just driving me crazy I'm blowing all my points through these so...

Answer 1

Explanation:

It's a right triangle with one of the angles being 60°. This means that the leftover angle is 30°. This allows me to use the attached screenshot as a reference, so please check it out if you want to understand how to easily solve those types of equations in the future. Anyway, we can specify the hypotenuse as
`a` .

First, let's calculate the value of
`y`.

`a` =
`10√(3)`

`y` =
`(a)/(2)`

`y` =
`(10√(3) )/(2)`

`y` =
`5√(3)`

----

Now, let's get to
`x`

`a` =
`10√(3)`

`x` =
`(a√(3) )/(2)`

`x` =
`(10 √(3) * √(3))/(2)`

`x` =
`(10 * 3)/(2)`

`x` =
`(30)/(2)`

`x` =
`15`

----

`x` =
`15` and
`y` =
`5√(3)`

Answer 2

Answer and Step-by-step explanation:

For this, you would need to use the trigonometric function Sine and cosine.

The trig equations are:

sin(θ) =
`(opposite - side)/(hypotenuse)`

cos(θ) =
`(adjacent-side )/(hypotenuse)`

Let's start with Sine:

sin(60) =
`(x)/(10√(3) )`

Multiply both sides of the equation by
`10√(3)`.

`10√(3) (sin(60)) = x`

Input into calculator and solve.

x = 15

Now for Cosine:

cos(60) =
`(y)/(10√(3) )`

Multiply both sides of the equation by
`10√(3)`.

`10√(3) (cos(60)) = x`

Input into calculator and solve.

y =
`5√(3)`

x = 15

y =
`5√(3)`

These are the answers.

I hope this helps!

#teamtrees #PAW (Plant And Water)