Mathematics: Does anyone know this??

im not sure i need pointsStep-by-step explanation:...

Does anyone know this?? - id5437571, jaimon1016

luusperezzz

20.01.2022

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.

$cos x= \frac{adjacent side}{hypotenuse}.$

Step 2:

The length of the adjacent side = 4.0 units.

The length of the hypotenuse = 5.9 units.

$cos x = \frac{4.0}{5.9} , cos x = (0.6779).$

$x = cos^{-1} (0.6779) = 47.3202.$

So x° = 47.3202, rounding this off to the nearest degree we get x = 47.

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