Answer:
10 m
Explanation:
the situation can be modelled by a right triangle with hypotenuse the broken branch and opposite side to 30° being the remaining tree.
let x be the length of the broken branch, then remaining part of the tree is 15 - x
using the sine ratio in the right triangle and the exact value
sin30° =
, then
sin30° =
=
=
( cross- multiply )
x = 2(15 - x)
x = 30 - 2x ( add 2x to both sides )
3x = 30 ( divide both sides by 3 )
x = 10
the broken part of the tree is 10 m