Question

A lobster boat is situated due west of a lighthouse. A barge is 8 km south of the
lobster boat. From the barge, the bearing to the lighthouse is N44°26'E. How far
is the lobster boat from the lighthouse?

Answer 1

The distance from the lobster boat to the lighthouse is 7.84 km

Trigonometric ratio

Trigonometric ratio is used to show the relationship between the sides and the angles of a right angled triangle.

The question, gives the scenario of a right angle triangle. 44°26' = 44.43°

Let d represent the distance from the lobster boat to the lighthouse. Hence:

tan(44.43) = d / 8

d = 7.84 km

The distance from the lobster boat to the lighthouse is 7.84 km

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