On level ground, a tree casts a shadow 36m long while a pole 9.0m

high casts a shadow 12m long. How tall is the tree?

Length (Tallness) of tree = 27 m

Step-by-step explanation:

Pole length = 9 m

Pole shadow = 12 m

Pole Shadow : Length Ratio = 12 : 9 = 4 : 3

Tree shadow = 36 m

As per 'Shadow : Length' ratio = 4 : 3

36 : L = 4 : 3

Reciprocal, L : 36 = 3 : 4  

L / 36 = 3 / 4

L = ( 36 x 3 ) / 4 = 108 / 4

Tree length = 27 m

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.