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marin [14]
3 years ago
14

Please help! i need to figure out this xD

Mathematics
1 answer:
Svetach [21]3 years ago
6 0
The answer to this is D or at least that's what I got
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Answer:

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Surveyors need to measure the distance across a pond. they created similar triangles in this picture.
leonid [27]

Answer:

Therefore the Distance across the Pond is

x=391\ ft

Step-by-step explanation:

Given:

Triangle are Similar

AB = 90 ft

AC = 170 ft

BD = 207 ft

DE = x

To Find:

x = ?

Solution:

In Δ ABC and Δ DBE

∠A ≅ ∠D …………..{ measure of each angle is 90° given }  

∠ABC ≅ ∠DBE ……….....{Vertical Angle Theorem}  

Δ ABC ~ Δ DBE ….{Angle-Angle Similarity test}  

If two triangles are similar then their sides are in proportion.  

\dfrac{AB}{DB} =\dfrac{AC}{DE} \textrm{corresponding sides of similar triangles are in proportion}\\  

Substituting the values we get

\dfrac{90}{207} =\dfrac{170}{x}\\\\x=23\times 17=391\ ft

Therefore the Distance across the Pond is

x=391\ ft

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3 years ago
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