Question

vijay lives in a flat in a multi storey building his driving was also his father gives an ionic driving one surprise from his house to faridabad his father was standing on the top of the building at a point is shown in the figure. the angle of depression of a car from the building was 60 degree after accelerating 20 from. cvs talks appointed by ice cream and angle of depression changed to 30 degree by analysing the given situation of the following questions find the value of x find the height of the building ab​

Answer 1

Height of the building is 17.32 m.

Step-by-step explanation:

Answer 2

Height of  Building = 17.32 m  & x = 10 m

Step-by-step explanation:

Height of building = h

Horizontal Distance = x when angle of depression = 60°

Horizontal Distance = x + 20 when angle of depression = 30°

=> Tan 60°  = h/x

=> h = x√3

& Tan 30° = h/(x + 20)

=> h = (x + 20)/√3

=> x√3 = (x + 20)/√3

=> 3x = x + 20

=> 2x = 20

=> x = 10

=> h = 10√3  = 17.32 m

Height of  Building = 17.32 m  & x = 10 m

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