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3. A surveyor wants to calculate the width of a pond. He made a diagram with the measurements as indicated. What is the width of the pond? o​

3 A Surveyor Wants To Calculate The Width Of A Pond He Made A Diagram With The Measurements As Indicated What Is The Width Of The Pond O class=

Sagot :

Answer:

[tex] \therefore [/tex] The width of the pond is 15ft

Step-by-step explanation:

The problem is about Right Triangles. Therefore,

  • [tex] \frac{BO}{CO} = \frac{AB}{DC} [/tex]

So, we gotta do is substitute it to the pattern then solve for width.

[tex] \frac{5}{1} = \frac{AB}{3} [/tex]

[tex] \frac{AB}{3} = \frac{5}{1} [/tex]

[tex] \frac{AB}{3} = 5 [/tex]

[tex] \frac{\cancel{3} \cdot AB}{ \cancel{3}} = 5 \cdot 3 [/tex]

[tex] AB = 15 [/tex]

[tex] \therefore [/tex] The width of the pond is 15ft