Question

What does x = 4 9 16

Answer 1

For the given triangle, x = 16 units.

Step-by-step explanation:

Step 1:

In the given triangle, the angle is 60°. The adjacent side has a length of 8 units while the hypotenuse of the triangle measures x units. To calculate the cos of angle A we divide the length of the adjacent side by the length of the hypotenuse.

cos A $= \frac{adjacentside}{hypotenuse}.$

Step 2:

The length of the adjacent side = 8 units.

The length of the hypotenuse = x units.

$cos\theta = \frac{adjacentside}{hypotenuse} , cos 60 = 0.5, cos 60 = \frac{8}{x} .$

$x = \frac{8}{cos60} = \frac{8}{0.5} = 16.$

So the hypotenuse of the given triangle measures 16 units. x = 16 units which is the third option.