Answer:
D.11.1
Step-by-step explanation:
first, let's use the SOHCAHTOA strategy. for people that don't know, it means:
Sine(angle)= side Opposite to the angle/Hypotenuse (SOH)
Cosine(angle)= side Adjacent to the angle/Hypotenuse (CAH)
Tangent(angle)= side Opposite to the angle/side Adjacent to the angle (TOA)
now, since the question describes both the hypotenuse and the side opposite to the angle, we will use Sine to find the length, according to the SOHCAHTOA strategy. This means that the equation will be:
Sin(46)=8/x
Now, we punch in the first half of our equation, Sin(46), into the calculator. it should pop up as:
Sin(46)=0.7193398
now, we substitute that in our original equation, and make it like this:
0.7193398=8/11.1
now, everything will be pretty easy. First, round the decimal into something easier, in this case, 18/25. Now, the equation will be:
18/25=8/x
from here, we can cross multiply to get the x. your fraction should be:
18x/200
so, x=200/18. convert it into a decimal, we get:
11.1111111...
now, we find the number closest to 11.11, which is 11.1, making the answer 11.1, or D.
