Question

Simon's dog jumped into a stream at a 68 degrees angle from the corner of a bridge. Simon crossed the bridge and walked downstream to meet the dog.

Part A How long is the bridge, in feet?
Part B How many feet did the dog swim?

Answer 1

The length of the bridge is 12.12 feet, the length the dog swam is 32.36 feet.

tan 68 = 30 / x

cross mulitply

x = 30 / tan 68

x = 12.12 feet

sin 68 = 30 / h

h = 30 / sin 68

h = 32.36