You are flying a kite. You have let out 28 feet of string. If the angle that the kite’s string makes with the ground is 52°, how high above the ground is the kite? Round to the nearest foot. You must show your work to receive credit.

Respuesta :

Answer:

Height[tex]=22\ feet[/tex]

Step-by-step explanation:

Let Kite is at point [tex]Q[/tex] and My place is [tex]P[/tex].

[tex]PQ=length\ of\ string=28\ feet[/tex]

Let [tex]RQ[/tex] be height and it is[tex]=h\ feet[/tex]

[tex]\angle QPR=52\textdegree[/tex]

[tex]Now\ in\ \triangle PQR\\\\\sin \angle QPR=\frac{Opposite}{Hypotenuse}=\frac{QR}{PQ}\\\\\sin 52=\frac{h}{28}\\\\h=28\times \sin 52\\\\h=28\times 0.7880\\\\h=22.064\approx 22\ feet[/tex]

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