The length of a string between a kite and a point on the roof of a building 10m high is 180 m. if the string makes an angle θ with the level ground such that tanθ = 4/3 , how high is the kite from the ground ? assume that there is no slack in the string.
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Let tan =4/3 = AB / BC
IF AB = 4X Then BC = 3X
In rt tri ABC
180 *180 = 16x^2 +9x^2
= 25 x ^2
X = underroot 180 * 180 /25
X = 36
AB =4x =144
Height of kite from ground = 144 + 10
=154 m
IF AB = 4X Then BC = 3X
In rt tri ABC
180 *180 = 16x^2 +9x^2
= 25 x ^2
X = underroot 180 * 180 /25
X = 36
AB =4x =144
Height of kite from ground = 144 + 10
=154 m
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