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Applications of Trigonometry
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17/06/2021 11:04 am
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A kite is flying at a height of 60 m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is 60°. Find the length of the string, assuming that there is no slack in the string.
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17/06/2021 11:05 am
Draw a figure, based on given instruction,
Let BC = Height of the kite from the ground, BC = 60 m
AC = Inclined length of the string from the ground and
A is the point where string of the kite is tied.
Length of the string from the ground i.e. the value of AC
From the above figure,
sin 60° = \(\frac{BC}{AC}\)
⇒ \(\frac{\sqrt 3}{2}\) = \(\frac{60}{AC}\)
⇒ AC = 40√3 m
Thus, the length of the string from the ground is 40√3 m.