Question

A freighter has to go around an oil spill in the Pacific Ocean. The captain sails due east for 30 miles. Then he turns the ship and heads due north for 14 miles. What is the distance and direction of the ship from its original point of course correction? Round each number to the nearest whole number.

Answer 1

The distance and direction of the ship from its original point of course correction is 33 miles and 23° respectively.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Pythagoras theorem is used to show the relationship between the sides of a right angled triangle.

Let x represent the distance travelled, hence:

x² = 14² + 30²

x = 33 miles

tanФ = 14/33

Ф = 23°

The distance and direction of the ship from its original point of course correction is 33 miles and 23° respectively.

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