The distance of Erika from kite directly is 35.71 yards
Step-by-step explanation:
Considering the given situation as a right triangle with string as hypotenuse and the distance between both girls as base
So,
[tex]h = 50\ yards\\b = 35\ yards[/tex]
As the triangle is a right triangle, we can use pythagoras theorem to solve this problem.
[tex]h^2 = b^2 + p^2\\p^2 = h^2 - b^2\\p^2 = (50)^2 - (35)^2\\p^2 = 2500-1225\\p^2 = 1275\\\sqrt{p^2} = \sqrt{1275}\\p = 35.707\ yards[/tex]
Rounding off to nearest hundredth
=> 35.71 yards
Hence,
The distance of Erika from kite directly is 35.71 yards
Keywords: Triangle, Pythagoras
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