The kite is directly 35.707 yards high above Erika
Step-by-step explanation:
Given scenario forms a right triangle where the length of string is the hypotenuse and the distance between Mary and Erika is the base.
So
[tex]H = 50\ yards\\B = 35\ yards[/tex]
We have to find the perpendicular
Using pythagoras theorem,
[tex]H^2 = B^2 + P^2[/tex]
Putting the values
[tex](50)^2 = (35)^2 + P^2\\2500 = 1225 + P^2\\P^2 = 1275\\[/tex]
Taking square root on both sides
[tex]\sqrt{P^2} = \sqrt{1275}\\P= 35.707[/tex]
Hence,
The kite is directly 35.707 yards high above Erika
Keywords: Triangle, Pythagoras
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