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You are on a boat in the ocean, at point A. You locate a lighthouse at point D, beyond the line of sight of the marker at point C. You travel 90 feet west to point B and then 36 feet south to point C. You travel 100 feet more to arrive at point E, which is due east of the lighthouse. What is the distance from point E to the lighthouse?

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27andreacarter

Answer:

Step-by-step explanation:

Step-by-step explanation:

Since, after making the diagram of this situation,

We get two triangles ABC and CED,

In which AB = 90 feet, BC = 36 feet and CE = 100 feet,

Now,

       ( Vertically opposite angles )

        ( Right angles )

By AA similarity postulate,

By the property of similar triangles,

Since, point D represents the lighthouse.

Hence, the distance from point E to the lighthouse = 250 feet

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