Mathematics: 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 point e, which is due east of the lighthouse. what is the distance from point e to the lighthouse?

AStep-by-step explanation:ion kno man just pick A :P...

You are on a boat in the ocean at point a. you

cravens511peeelg

17.01.2022

The distance from point E to the lighthouse = 250 feet

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,

$\angle ACB\cong \angle ECD$ ( Vertically opposite angles )

$\angle ABC\cong \angle DEC$ ( Right angles )

By AA similarity postulate,

$\triangle ABC\sim \triangle DEC$

By the property of similar triangles,

$\frac{AB}{ED}=\frac{BC}{EC}$

$\frac{90}{ED}=\frac{36}{100}$

9000=36DE

250=DE

Since, point D represents the lighthouse.

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

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