Question 1:
I attached a drawing I made to make things a bit clearer.
We can see a 30-60-90 right triangle with the length of the longer leg being 12 feet. Divide the longer leg by the square root of 3 and then multiply it by 2 to get our answer.
Since we need to round, we can use a calculator.
[tex]2*12/ \sqrt{3} \approx 14[/tex]
The hypotenuse's length is 14 ft. Thus, the 3rd choice is your answer.
Question 2:
Plug in each value.
[tex]tan(81.61) \approx 6.7[/tex]
[tex]tan(64.61) \approx 2.1[/tex]
[tex]tan(60.61) \approx 1.8[/tex]
[tex]tan(89.22) \approx 73.4[/tex]
Your answer is the last choice. Hope this helps! :)
