The height of building is 0.2 miles.
The given points form a right angled triangle. Top of the building to base of building is the perpendicular, base of building to the angle of elevation is base and angle of elevation to top of the building is hypotenuse. So, considering this, tan of angle of elevation related the two sides of triangle as follows -
tan theta = perpendicular ÷ base
tan 6° = perpendicular ÷ 2
Perpendicular = 2 × tan 6°
Keep the value of tan 6°
Perpendicular = 2 × 0.1
Performing multiplication
Perpendicular = 0.2 miles
Hence, the height of the building is 0.2 miles.
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