Use a calculator to find a value of theta between 0 degrees and 90 degrees that satisfies the statement. Write your answer in degrees and minutes rounded to the nearest minute.

csc (t) = 7.0683

In the trigonometric identities, csc (t) is the inverse of sin (t). Thus, to input this in the calculator it would be:

1/sin (t) = 7.0683

sin (t) = 1/7.0683

t = arc sin (1/7.0683)

t = 8.13 degrees or

t = 8 degrees and 7 minutes