Problema Solution
Your office window is a = 35 feet high. Looking out your window, you find that the top of a statue lines up exactly with the bottom of a building that is b = 700 horizontal feet from your office. You know the statue is c = 225 feet from the building. How tall is the statue?
Answer provided by our tutors
we find the angle made by your view and the ground to be the angle formed by a right triangle whose legs are 35 feet and 700 feet:
let 'x' represent the angle, then:
tan(x) = 35/700
x = atan(35/700)
x = 2.86 degrees
the height of the statue can be found from the angle 'x' and the distance 225 feet, as we know work with a right triangle whose legs are 225 feet and 'h', the height of the statue:
tan(35/700.) = h/225
h = 225 * tan(35/700)
h = 11.26
the statue is approximately 11.3 feet tall