Question

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

Answer 1

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

Answer 2

Answer:

6.09

Step-by-step explanation:

in ADB

$a ^{2} + b^{2} = c ^{2}$

to get hypotenuse=8.96

this is height of ABC so use tan

$tan(55.8)= 8.96 \x$

x=6.09