Question

In the triangle below..

Answer 1

Answer:

44

Step-by-step 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, $tan(z)=\frac{75}{79}$

We now solve for z

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

$tan(z)*tan^-^1=z\\tan^-^1(\frac{75}{79} )=43.51213147$

We're left with z = 43.51213147

Our last step is to round to the nearest degree,

We get that ∠Z = 44

Answer 2

The answer is 44 hope this helps