Since the roof of one building is 400 feet below the roof of another building, the buildings are 571 ft apart.
<h3>The required triangle</h3>
The line of sight of the lower building to the taller building, the distance of the buldings apart, D and the height of the lower building below the taller building, h form a right angled triangle with angle Ф = 35° = angle of elevation of taller building and opposite side, h.
From trigonometric ratios, we have that
tanФ = h/D
So, D = h/tanФ
Since
<h3>Distance of building apart</h3>
Substituting the values of the variables into the equation, we have
D = h/tanФ
D = 400 ft/tan35°
D = 400 ft/0.7002
D = 571.27 ft
D ≅ 571 ft to the nearest foot
So, the roof of one building is 400 feet below the roof of another building, the buildings are 571 ft apart.
Learn more about distance of building apart
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