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4 years ago

Find x. 2√3 4√3 8√3 8

Mathematics

2 answers:

qwelly [4]4 years ago

7 0

Answer:

Step-by-step 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

exis [7]4 years ago

5 0

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

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