Using scissors to cut a rectangular piece of paper from one corner ro the opposite corner. The cut is 36 cm long and makes a 34 degree angle to the uncut edge. How many cm long is the paper (from the corner where he started the cut?

Answer 1

sin34 = y/36
y = 36sin34 = appr 20.13

cos34 = x/36
x = 36cos34 = appr. 29.85

the paper was 20.13 cm by 29.85 cm

check:
20.13^2 + 29.85^2 = 1296.23
36^2 = 1296 , good enough using 2 decimals

Answer 2

Find the distance of the point p(6,-6) from the origin.