What are the values of a and b? you for .

Step-by-step explanation:

First, I like to draw the triangles so they look the same.  

Now, because the angles from the top triangle are congruent to the triangle on the bottom, they are similar triangles.  Therefore, their sides form a proportion.  From drawing I created, the sides match up as follows:

Next, set up the proportions

Lastly, Use the Pythagorean to solve for b:

2² + 8² = b²

4 + 64 = b

   68    = b²

   2√17 = b

s

step-by-step explanation:

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2