A tree of 14 m height is broken by the wind so that its top
touches the ground and makes an angle 60° with the ground. Find
the length of the broken part of the tree.

Respuesta :

you006

Answer:

The answer is:

[tex](56 - 28 \sqrt{3} )m[/tex]

Step-by-step explanation:

Let the broken part is (x) m

so other part is (14-x) m

[tex] \sin(60) = \frac{14 - x}{x} [/tex]

[tex] \sin(60) = \frac{ \sqrt{3} }{2} [/tex]

[tex] = x = (56 - 28 \sqrt{3} )m[/tex]