Using a calculator, solve the following problems. Round your answers to the nearest tenth.
-A boat leaves the entrance of a harbor and travels 72 miles on a bearing of N 5° E. How many miles north and how many miles east from the harbor has the boat traveled?
A) 71.7 miles north and 6.3 miles east
B) 823 miles north and 6.3 miles east
C) 6.3 miles north and 71.7 miles east
D) 72 miles north and 72 miles east

Question

Quizplus · Accepted Answer

To solve this, we use trigonometry. The northward distance is found using the cosine function (cos(5°) * 72 miles) and the eastward distance using the sine function (sin(5°) * 72 miles). This gives approximately 71.7 miles north and 6.3 miles east.

Using a Calculator, Solve the Following Problems