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Pani-rosa [81]
3 years ago
13

A navy cruiser detects a nuclear submarine that is 2500 feet from the cruiser. The angle between the water level and the submari

ne is 15.5 degrees. How deep is the submarine?
Mathematics
1 answer:
nataly862011 [7]3 years ago
6 0

Answer:

Depth of the submarine = 668.09 feet

Step-by-step explanation:

From the figure attached,

In triangle ABC,

Distance between a navy cruiser and a nuclear submarine = 2500 feet

Angle between the water level and the submarine = 15.5°

By applying sine rule in the given triangle,

sin(∠BAC)° = \frac{BC}{AC}

sin(15.5°) = \frac{BC}{2500}

BC = 2500[sin(15.5)]

BC = 668.09 feet

Therefore, submarine is 668.09 feet deep in the sea.

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