Question 7 (10 points)
Technology required. Clare is flying a kite. She gets tired, so she stakes the kite into the
ground. The kite is on a string that is 30 ft long and makes a 27 degree angle with the
ground. How high is the kite?
a.
30 ft
b.
13.6 ft
C.
26.7 ft
d.
15.3 ft

Respuesta :

It should be 13.6 but I’m not sure though

Height of the kite above the ground is 13.6 feet.

    Given in the question,

  • Length of the string of the kite = 30 feet
  • Angle between the string and the ground = 27°

Apply sine rule in the given triangle ABC,

[tex]\text{sin}\theta=\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

[tex]\text{sin}(27^0)=\frac{AB}{30}[/tex]

BC = 13.6 feet

    Therefore, height of the kite above the ground is 13.6 feet.

Option (B) will be the answer.

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