For the given triangle, x = 47.
Step-by-step explanation:
Step 1:
In the given triangle, the angle is x°. The adjacent side has a length of 4.0 units while the hypotenuse of the triangle measures 5.9 units.
To calculate the value of x, we determine the cos of angle x where we divide the length of the adjacent side by the length of the hypotenuse.
[tex]cos x= \frac{adjacent side}{hypotenuse}.[/tex]
Step 2:
The length of the adjacent side = 4.0 units.
The length of the hypotenuse = 5.9 units.
[tex]cos x = \frac{4.0}{5.9} , cos x = (0.6779).[/tex]
[tex]x = cos^{-1} (0.6779) = 47.3202.[/tex]
So x° = 47.3202, rounding this off to the nearest degree we get x = 47.
