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In the diagram, a student placed a mirror on level ground, then
stands so that the top of a nearby tree is visible in the mirror. What
is the height of the tree?


In The Diagram A Student Placed A Mirror On Level Ground Then Stands So That The Top Of A Nearby Tree Is Visible In The Mirror What Is The Height Of The Tree class=

Sagot :

24m- the triangles are proportionate therefore
base = 3 : 36

height = 2: ?

well let’s simplify it
how many threes are in 36 if they are related to each other otherwise
3 multiplied by what equals to 36
3*_=36? 12

hence we can relate that to the the height as well, 2*12= ?

24 is the answer

if you want it done more algebraically it would look like this -
3. 36
- = -
2. x

cross multiply
3x = 2*36
x= 2*36
——
3

x=24