from a point 12 ft from the base of a building, the angle of elevation from the ground to the top of the building is 70 degrees. Which is the closest to the height of the building
![from a point 12 ft from the base of a building the angle of elevation from the ground to the top of the building is 70 degrees Which is the closest to the heigh class=](https://us-static.z-dn.net/files/d4b/59b4bbc3d7c05b4bbc49ec553ad3d30e.jpg)
The possible height of the building is 33 ft.
The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.
Here, Let the height of the building be x ft
Base = 12ft.
Angle of Elevation = 70⁰
Now, tan α = perp. / base
tan 70⁰ = x/12
2.74 = x/12
x = 12 X 2.75
x = 33
Thus, the possible height of the building is 33 ft.
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