Question

Please helpppp
Find the value of x. Your answer must be
Exact

Answer 1

`x=8`

Explanation:

Use the sine ratio because we have the hypotenuse and side opposite the given angle to work with:

`sineX=(opposite)/(hypotenuse)`

Insert the values:

`sin30=(4)/(x)`

Multiply both sides by x:

`x(sin30)=x((4)/(x) )\\\\x*sin30=4`

Divide both sides by sin30°:

`(x*sin30)/(sin30) =(4)/(sin30)\\\\x= (4)/(sin30)`

Insert the value of x into a calculator:

`x=8`

OR:

The little red square means that angle is 90º, and the other given angle is 30°. Since every triangle has a measure of 180°, the other missing angle is 60°. The given triangle is a 30°-60°-90° triangle with the following rules:

`long.leg=short.leg*√(3)\\\\hypotenuse=short.leg*2`

The hypotenuse is represented by the variable x. We are given the value of the short leg, which is 4. Solve for the hypotenuse:

`h=4*2\\\\h=8`

Therefore, the value of x is 8.

:Done

Answer 2

x = 8

Explanation:

sin (30) = 4/x => solve for x.