Question

76°
13
X

Help me please !! This is so hard to do!!

Answer 1

x=13.4

Explanation:

To answer this question, you need to know your trigonometric functions.

Note the sine of an angle in a triangle is equal to the length of the opposite side divided by the length of the hypotenuse.

So the sine of 76° will be equal to 13 divided by x:

sin(76) = 13/x

xsin(76) = 13

x =
`(13)/(sin(76))` = 13.3979771815 ≈ 13.4

Answer 2

To calculate the value of x, we can use the Law of Cosines formula:

x^2 = 13^2 + 8^2 - 2 * 13 * 8 * cos(76°)

Calculating this equation, we get:

x^2 = 169 + 64 - 208 * cos(76°)

Now we can evaluate the right side of the equation:

x^2 = 233 - 208 * cos(76°)

Using a calculator, we find:

x^2 ≈ 233 - 208 * (-0.2079)

x^2 ≈ 233 + 43.2912

x^2 ≈ 276.2912

Taking the square root of both sides, we find:

x ≈ √(276.2912)

x ≈ 16.62

Therefore, the approximate value of x is 16.62.

Explanation: