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Answer:
77 m
Step-by-step explanation:
The geometry can be modeled by a right triangle. The distance from the viewpoint to the base of the tower is 110 m, the leg of the triangle adjacent to the angle. The height of the spire is the leg of the triangle opposite the given angle. The relevant trig relation is ...
Tan = Opposite/Adjacent
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Using the given numbers, we find ...
tan(35°) = height/(110 m)
height = (110 m)tan(35°) = (110 m)×0.700208 ≈ 77.0 m
The height of the tower is about 77 meters.
The graph is attached, showing the intersection point at 13.5 years and populations of 235.2 for each population.
We only consider the portion of the graph from x=0 on, since negative time is illogical. Tracing the graph we get the intersection point.
We only consider the portion of the graph from x=0 on, since negative time is illogical. Tracing the graph we get the intersection point.