You can measure the width of the lake using a surveying technique, as shown in the diagram. Find the width of the lake, WX
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Given : River and two similar triangles
To Find : the width of the lake, WX
Solution:
ΔVWX and Δ YZX
∠VWX = ∠YZX = 90°
∠WXV = ∠ZXY ( vertically opposite angles)
=> ΔVWX ≈ Δ YZX
=> VW/YZ = WX/ ZX
=> 104/8 = WX/6
=> WX = 104 * 6 / 8
=> WX = 78 m
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