the angle of depression of the top and bottom of an 8m tall building from the top of multi storage building is 30 degree and 45 degree respectively.
find the height of the multistoried building and find the distance between the two buildings
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Answer:
8+8√3 and 8
Step-by-step explanation:
let us assume that 'h+x' is the multi storied building's height and distance between them is taken as 'd'.
if angle of depression is 45 degree in the bottom. then tan45= h/d
as tan45 = 1......h=d.
then angle of depression of top is 30 degree..
excluding the height of that building the other part is equal to(x)
tan30= x/h....(h=8)
x=8/√3.....
hence d=8cm and h+x= 8+8√3....
hope u understood.
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