In order to measure the distance across a pond (from A to B), Eva made some measurements, which are given below the drawing. What is the distance (to the nearest unit)?

Question

anonymous · Answer

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anonymous · Answer

<ABE = 53degrees
BE = 165 yd
ED = 47 yd
DC = 43 yd
CE = 53 yd
<DCE = 53 degrees

p0sitr0n · Answer

Similar triangles? Like the side BE end the two angles near it (<B and <E). Similar case by two angles and side between them?

p0sitr0n · Answer

Ratio side:side = BE/CE = 165yd/53yd = 3.11 = k
AB and DC have the same ratio. therefore, AB = 3.11 * DC = 3.11 * 43 yd = 133.87 yd

anonymous · Answer

okay thank you I see what i was doing wrong I was multiplying 165 by 53