Carla saw a license plate
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Answer: The angle of elevation is 18.4 degrees (Approximately)
Step-by-step explanation: Please refer to the picture attached for more details.
The pole from top to bottom is 20 feet tall and is depicted as line FB. An observer is standing at a distance of 20 feet from the base of the pole, and that is depicted as line BA. The observer who is at point A looks up to the top of the flagpole at an angle of elevation shown as angle A.
Using angle A as the reference angle, line FB which is 20 feet would be the opposite (facing the reference angle), while line BA which is 60 feet would be the adjacent (that lies between the right angle and the reference angle).
Therefore, to calculate angle A;
Tan A = Opposite/Adjacent
Tan A = 20/60
Tan A = 1/3
Tan A = 0.3333
Checking with your calculator or table of values,
A = 18.4349°
Rounded to the nearest tenth,
A ≈ 18.4°
Answer:
can be written as the single logarithm:
Step-by-step explanation:
Start by using in both terms of the expression the property of logarithm of a power that states:
so we recognize that the factor that multiplies each logarithmic expression, can be understood as the power of the argument of the function logarithm:
Then we use the property of logarithm of a product which states that:
So now we recognize the expression:
as the logarithm of the product:
which is finally a single logarithm as requested.