Tia uses 3/4 cup of pumpkin to make 1 1/4 pounds of dog treats. How much pumpkin does Tia use to make 1 pound of treats?
1 answer:
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Answer:
112 m
Step-by-step explanation:
The angle of depression from the pole position is the same as the angle of elevation from the boat position. So, the problem statement gives us an angle and horizontal and vertical legs of a right triangle. The relation between them is given by the tangent function.
Tan = Opposite/Adjacent
If we let (3/4h) represent the length of the side opposite the given angle, and 120 m the side adjacent, we have ...
tan(35°) = (3/4h)/(120 m)
Multiplying by the inverse of the coefficient of h, we get ...
h = (160 m)tan(35°) ≈ 112 m
The height of the pole is about 112 meters.
