The depth of the fish is 7.3 meters if the fishing boat has snagged a fish and wants to know the depth of the fish. If there is 18 meters of fishing line out and the angle of depression is 24º.
What is trigonometry?
Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
A fishing boat has snagged a fish and wants to know the depth of the fish. If there are 18 meters of fishing line out and the angle of depression is 24º
We can draw a right-angle triangle:
From the right-angle triangle:
Let x be the depth of the fish.
As we know, the trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
Applying sin ratio:
sin24 = x/18
x = 18sin24
x = 7.32 meters ≈ 7.3 meters
Thus, the depth of the fish is 7.3 meters if the fishing boat has snagged a fish and wants to know the depth of the fish. If there is 18 meters of fishing line out and the angle of depression is 24º.
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