Question

Please help me!! will mark you brainliast

Answer 1

Answer:
`x=7 sqrt(6)\ \ or\ x=7√(6)`

Explanation:

For this exercise you can use the following Trigonometric Identity:

`sin\alpha =(opposite)/(hypotenuse)`

In this case you can identify in the figure given in the exercise that:

`\alpha =45\°\\\\opposite=7√(3)\\\\hypotenuse=x`

Knowing those values, you must substitute them into
`sin\alpha =(opposite)/(hypotenuse)`, as following:

`sin(45\°)=(7√(3))/(x)`

Now you must solve for "x" in order to find its value.

You need to remember that, by definition:

`sin(45\°)=(1)/(√(2))`

Therefore, you get that the value of "x" is:

`(x)((1)/(√(2)) )=7√(3)\\\\x=(7√(3))( √(2)})\\\\x=7√(6)}`