Question

Can you please figure this out for me? ASAP! 20 points!

Answer 1

For the given triangle, x = 51°.

Step-by-step explanation:

Step 1:

In the given triangle, the angle is x°. The opposite side has a length of 7 units while the hypotenuse of the triangle measures 9 units. To calculate the value of x, we determine the sin of angle x where we divide the length of the opposite side by the length of the hypotenuse.

sin x° $= \frac{oppositeside}{hypotenuse}$

Step 2:

The length of the opposite side = 7 units.

The length of the hypotenuse = 9 units.

$sinx = \frac{7}{9} , x = sin^{-1} (\frac{7}{9}) = sin^{-1} (0.777).$

$x = 50.986.$

So x° = 50.986°, rounding this off to the nearest degree we get x = 51°.