roydavidsonjr007 roydavidsonjr007
  • 24-03-2021
  • Mathematics
contestada

You can measure
the width of the lake using a surveying technique, as
shown in the diagram. Find the width of the lake, WX.
Justify your answer.


Please help

You can measure the width of the lake using a surveying technique as shown in the diagram Find the width of the lake WX Justify your answer Please help class=

Respuesta :

jcherry99
jcherry99 jcherry99
  • 24-03-2021

Answer:

78

Step-by-step explanation:

Remark

There are two similar triangles in the diagram: ΔYZX and  ΔVWX.

That being true a ratio can be set up as

VW / ZY = WX / XZ

Givens

VW = 104

ZY = 8

WX = ?

XZ = 6

Solution

104 / 8 = WX / 6

104 * 6 / 8 = WX

WX = 78

So the width of the lake is 78 meters

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