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Answer :
Final answer:
The angle of elevation from Frank to the top of the Statue of Liberty's torch can be calculated using tangent in trigonometry. The calculated answer is approximately 37.4 degrees. Therefore correct option is B
Explanation:
This question is about trigonometry, specifically the use of the tangent function. The Statue of Liberty question describes a right triangle, where Frank is 400 feet from the base, the height of the statue is 306 feet and the angle of elevation to the top of the torch is the angle we need to find. Using the formula for tangent, which is opposite/adjacent, we input the given values.
Tan θ = opposite/adjacent
= 306/400
= 0.765.
Now we find the arctan (also called the inverse tangent) of 0.765. Most scientific calculators have this function. The arctan of 0.765 is approximately 37.4 degrees, so the correct answer is B. 37.4°.
Learn more about trigonometry here:
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