Use your observations from problem 4-26 to answer the following questions:  

1. Thalia did not have a tool to help her find the slope angle in the triangle at right. However, she claims that the slope angle has to be more than $45º$. Do you agree with Thalia? Why?
   

   Hint (a):

   An isosceles right triangle has a slope of $1$ and slope angle of $45º$. Does this triangle have a larger or smaller ratio? What does this tell us about the slope angle?

   Answer (a):

   Yes, because the slope ratio is greater than $1$, the angle must be greater than $45º$.

2. Lyra was trying to find the slope ratio for the triangle at right, and she says the answer is $\frac{\Delta y}{\Delta x}=2.675$. Isiah claims that cannot be correct. Who is right? How do you know?
   

   Hint (b):

   Use the same method as in part (a).

3. Without finding the actual value, what information do you know about $x$ in the diagram at right?
   

   Hint (c):

   If the slope angle is $76º$, is the slope ratio more than $1$ or less than $1$?
   Does this mean that $x$ is greater than $9$ or less than $9$?