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 [tex]= \frac{adjacentside}{hypotenuse}.[/tex]
Step 2:
The length of the adjacent side = 8 units.
The length of the hypotenuse = x units.
[tex]cos\theta = \frac{adjacentside}{hypotenuse} , cos 60 = 0.5, cos 60 = \frac{8}{x} .[/tex]
[tex]x = \frac{8}{cos60} = \frac{8}{0.5} = 16.[/tex]
So the hypotenuse of the given triangle measures 16 units. x = 16 units which is the third option.
