Question

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

Answer 1

78

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