Question

Find the value of X.

Answer 1

Answer:

x=5

Step-by-step explanation:

You can use the 30-60-90 rule or trigonometry to solve this.

The 30-60-90 rules states...

• the hypotenuse is 2x
• The long leg is $x\sqrt{3}$
• the short leg is x

Ex: short leg is 7 which means the long leg is $7\sqrt{3}$ and the hypotenuse is 14

Therefore if the hypotenuse is 10 then x (short leg) should be 5

Trigonometry also proves this...

Sine

Opposite

Hypotenuse

Cosine

Adjacent

Hypotenuse

Tangent

Opposite

Adjacent

We will use SINE since we are trying to find the leg opposite to the 30 degree angle and the hypotenuse is already given (10)

$sin30=\frac{x}{10}\\sin30*10=x\\x=5$

(Use a calculator for this)