Question

You are sailing from your lakeshore cabin to a marina 60º north of east and 0.5 miles across the lake. On your return trip, you decide to sail directly south and then west to get back to your cabin. Which of the following expressions uses the complementary angle of 60° to determine how far you would travel on your trip west? a. 0.5cos30° b. 0.5cos60° c. 0.5sin30° d. 0.5sin60°

Answer 1

c. 0.5sin 30

Explanation:

Answer 2

complimentary angle is 90-60 = 30.

The length going west is opposite the 30 degree angle, therefore the correct trig ratio to use is sine.

sine = opp/hyp = west/0.5

west = 0.5sin(30)