Question

1) A storm caused a tree to fall from a height of 6 m above the grain. The two parts of the tree did not separate, and the treetopptouches the ground at a distance of 8 m from its bases that was the actual height of the tree?
a ) 15 m
b ) 16 m
c ) 17 m

2) Find the mean, median and mode of the following da5 1, 15?

a ) 16 , 15 , 15
b ) 16 , 16 , 15 O
c ) 15 , 14 , 14​

Answer 1

Answer:

b)16

a)16,15,15

Step-by-step explanation:

This is the answer

Answer 2

Step-by-step explanation:

1)

$let \: height \: of \: tree \: be \: h \\ then \: lenght \: of \: broken \: part \: is \: (h - 6) \\ base = 8 \\ using \: pythagoras \: theoram \: we \: get \\ {a}^{2} + {b}^{2} = {c}^{2} \\ {6}^{2} + {8}^{2} = {(h - 6)}^{2} \\ = > 36 + 64 = {h}^{2} - 2 \times 6 \times h \: + 36 \\ = > 64 \: = {h}^{2} - 12h \\ = > {h}^{2} - 12h - 64 = 0 \\ discriminant(d) = \sqrt{ {12}^{2} - 4 \times 1 \times ( - 64 } \\ = \sqrt{144 + 256} = \sqrt{400} = 20 \\ h = \frac{ - ( - 12) + 20}{2} = 16$

$b \: is \: correct$

$sorry \: 2 \: i \: dont \: know$