Question 843559
tan (x) = 5
x = tan^-1(5) = 78.69006753

the nearest tenth are the numbers 10,20,30,40,50,60,70,80, and 90

in our case we can neglect the numbers after the decimal and focus on the first two. 

78 is closer to 80 than it is 70 so the answer is 80 degrees.

food for thought, what do you think the nearest tenth would have been if x was 75.2, 74.8 or 75?