Question

a tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle 30 degree with the distance between the foot of the tree to the point where the top touches the ground is a m find the height of the tree

Answer 1

it is simple answer 30-90 = 70

Answer 2

Answer:

see the figure in above attachment ..》》

Step-by-step explanation:

$\huge\blue{solution࿐}$

$\sin(theta) = \frac{p}{h} \\ then - \\ \sin( {30}^{o} ) = \frac{8}{a \: c} \\ we \: know \: that - \sin(30) = \frac{1}{2} \\ so \: \\ \frac{1}{2} = \frac{8}{a \: c} \\ then - \\ a \: c = 16m. \\ now - \\ \tan( {31}^{o} ) = \frac{p}{b} \\ \frac{1}{ \sqrt{3} } = \frac{8}{a \: b} \\ \huge\blue{on \: solving \: it \: - } \\ a \: b = 8 \sqrt{3} \\ \huge\mathfrak\red{hence..࿐} \\ height \: of \: tree = 8 \sqrt{3} m.$