Question

linda is at the beach flying a kite. the kite is over a sand castle 60 ft away from linda. if 100 ft of kite string is out (ignoring any sag in the string), how high is the kite? (assume that linda is 6 ft tall.) see the given figure. the kite is ft above the ground.

Explanation:

Step1: Apply Pythagorean theorem

Let \( h \) be the height of the kite above Linda's hand. Using the Pythagorean theorem \( a^{2}+b^{2}=c^{2} \), where \( c = 100\) (hypotenuse, length of kite - string), \( a=60 \) (horizontal distance). Then \( h=\sqrt{100^{2}-60^{2}} \).

Step2: Calculate \( h \)

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Step3: Add Linda's height

The total height of the kite above the ground is \(80+6\) (since Linda is \(6\) ft tall).

Answer:

\(86\)