Answer:
x=56.7
Step-by-step explanation:
From the given triangle, the opposite side of angle x is 66 mm
79 mm is opposite to the right angle, so hypotenuse = 79 mm
we know the opposite side and the hypotenuse
To find the angle we use sin
[tex]sin(x)= \frac{opposite side}{hypotenuse}[/tex]
opposite side = 66
hypotenuse = 79
[tex]sin(x)= \frac{66}{79}[/tex]
[tex]x=sin^{-1}(\frac{66}{79})[/tex]
x=56.66199855
Round the answer to nearest tenth
x=56.7
