Question

Morana is trolling for salmon in Lak Ontario. She sets the fishing rod so its tip is 1 m above the water and the line enters the water at an angle of 45 degrees. Fish have been tracked at a depth of 45km. What length of line must she let out?

Answer 1

*35 degrees

Answer 2

Surely you mean a depth of 45m, not 45km! Draw a diagram. The length x of fishing line can be found via

(45+1)/x = sin35°

Answer 3

Fish at a depth of 45 km in Lake Ontario ????
I live about 45 minutes from Lake Ontario, and let me guarantee you that lake is not that deep, lol.

Anyway .....
I will assume you meant 45 m.
let the line be l m long
cos 45 = 46/l ----- ( 1 m above the water + 45 l = 46 m)

l = 46/cos45= appr 65.1 m