Solution:
Consider the following diagram:
Then, we want to find h : the measure of the ladder. To do that, we can use the following trigonometric identity:
[tex]\cos (77)\text{ = }\frac{8}{h}[/tex]
solving for h, we get:
[tex]h\text{ = }\frac{8}{\cos (77)}\text{ = 35.56}[/tex]
Then, the correct answer is:
h = 35.56
