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° [tex]= \frac{oppositeside}{hypotenuse}[/tex]
Step 2:
The length of the opposite side = 7 units.
The length of the hypotenuse = 9 units.
[tex]sinx = \frac{7}{9} , x = sin^{-1} (\frac{7}{9}) = sin^{-1} (0.777).[/tex]
[tex]x = 50.986.[/tex]
So x° = 50.986°, rounding this off to the nearest degree we get x = 51°.
