A string of length 50√3 m attached to a kite is temporarily tied to a point on the ground at an inclination ϴ. Find the angle of inclination of the string if the kite is flying at the height of 75 m above the ground, assuming that there is no slack in the string.
(Class 10 Maths Sample Question Paper)
(Class 10 Maths Sample Question Paper)
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FIGURE IS IN THE ATTACHMENTGiven :
Height of kite (AB) = 75 cm
Length of string (AC) = 50√3 cm
In ∆ ABC ,
sin ϴ = AB / AC
[ sin ϴ = perpendicular/ hypotenuse]
sin ϴ = 75 / 50√3
sin ϴ = 3 / 2√3
sin ϴ = (3 × √3) / (2√3 × √3)
[ By rationalising the denominator ]
sin ϴ = 3√3 / (2 ×3) = 3√3 / 6 = √3 /2
sin ϴ = √3 / 2
sin ϴ = sin 60 °
ϴ = 60 °
Hence, the angle of inclination on the string is 60 ° .
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