contestada

A kite is hovering over the ground at the end of a straight 38-m line. the tension in the line has a magnitude of 17 n. wind blowing on the kite exerts a force of 18 n, directed 60° above the horizontal. note that the line attached to the kite is not oriented at an angle of 60° above the horizontal. find the height of the kite, relative to the person holding the line.

Respuesta :

Let the tension in the thread will be at angle theta

now by force balance in  x and y directions we can say

[tex]17 cos\theta = 18 cos60[/tex]

[tex]17 cos\theta = 9[/tex]

[tex]\theta = 58.03 degree[/tex]

now for the height of the kite we can use

[tex]h = L sin\theta[/tex]

[tex]h = 38 sin58.03[/tex]

[tex]h = 32.23 m[/tex]

so it will be at height 32.23 m from ground

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