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Anna [14]
3 years ago
9

A scuba diver has a taut rope connecting the dive boat to an anchor on the ocean floor. The rope is 90 feet long and the water i

s 80 feet deep. To the nearest tenth of a foot, how far is the anchor from a point directly below the boat?

Mathematics
2 answers:
Evgen [1.6K]3 years ago
5 0

Answer:

41.2 feet

Step-by-step explanation:

Refer the attached figure .

A scuba diver has a taut rope connecting the dive boat to an anchor on the ocean floor. The rope is 90 feet i.e. AC = 90 feet.

The depth of water i.e. AB  = 80 feet.

We are supposed to find how far is the anchor from a point directly below the boat i.e. BC

So, to find BC we will use Pythagoras theorem :

Perpendicular^2+Base^2=Hypotenuse^2

AB^2+BC^2=AC^2

80^2+BC^2=90^2

6400+BC^2=8100

BC^2=8100-6400

BC^2=1700

BC=\sqrt{1700}

BC=41.2 feet

Thus the anchor is 41.2 feet from a point directly below the boat.

Marina86 [1]3 years ago
4 0
<span> 41.2 ft is the answer to your question hope this helps.</span>
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