Question

Find x.
2√3
4√3
8√3
8

Answer 1

For this case we have to, by trigonometric properties applied to rectangular triangles:

`Sine (30) = \frac {Cathet \ opposite} {Hypotenuse}\\Sine (30) = \frac {4} {x}`

Clearing x:

`x = \frac {4} {Sine (30)}\\x = \frac {4} {\frac {1} {2}}\\x = 8`

Thus, the value of the hypotenuse is 8.

Answer:

`x = 8`

Option D

Answer 2

8

Explanation:

sin theta = opposite side/ hypotenuse

sin 30 = 4/x

Multiply each side by x

x sin 30 = 4

Divide each side by sin 30

x sin 30 /sin 30 = 4 sin 30

x = 4 /sin 30

We know that sin 30 = 1/2

x = 4 / 1/2

x = 8