find x value A. 8.96 B. 10.83 C. 5.10 D. 6.09

Answer:
6.09
Step-by-step explanation:
in ADB
[tex]a ^{2} + b^{2} = c ^{2} [/tex]
to get hypotenuse=8.96
this is height of ABC so use tan
[tex] tan(55.8)= 8.96 \x[/tex]
x=6.09
Answer:
D
Step-by-step explanation:
To find x, we first to to find the line between A&B.
Use the pythagoram theorem to do this A^2+B^2=C^2
4.9^2+7.5^2=C^2
80.26=C^2
square root each side
Side AtoB=8.958
We now know the side length of the opposite and adjacent for the angle C. So according to SohCahToa we need to use Tangent.
So Tan(55.8)=(8.958/x)
We you solve for x, the answer is 6.088