You are standing 350 feet away from a skyscraper that is 750 feet tall. What is the angle of elevation from you to the top of the building?
Answer (2)
t an α = 750 350 = 15 7 ≈ 0.4667 an d α < 9 0 0 ⇒ α ≈ 6 2 0 A n s . t h e an g l e o f e l e v a t i o n f ro m t o t h e t o p o f t h e b u i l d in g . i s ab o u t 6 2 0
The angle of elevation from your position to the top of the skyscraper is approximately 65.5 degrees. This is calculated using the tangent function, where the height of the building is compared to your distance from it. By using the arctangent function, we find the angle that corresponds to this ratio.
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