Question

In the triangle below..

Answer 1

The answer is 44 hope this helps

Answer 2

44

Explanation:

Step 1: Create an equation to solve for ∠Z

Recall that trig ratio tangent = Opposite over Adjacent

Opposite of ∠Z = 75 and adjacent of ∠Z = 79

Hence,
`tan(z)=(75)/(79)`

We now solve for z

Step 1: Multiply each side by the inverse of tan ( tan ) ^-^1

`tan(z)*tan^-^1=z\\tan^-^1((75)/(79) )=43.51213147`

We're left with z = 43.51213147

Our last step is to round to the nearest degree,

We get that ∠Z = 44