Answer:
7.5
Step-by-step explanation:
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Applying the tangent ratio, the angle of elevation of the sun, to the nearest degree, is: 36°.
<h3>What is the Tangent Ratio?</h3>
In a right triangle, tan ∅ = opposite length / adjacent length is the tangent ratio.
Given the following:
- Angle of elevation = ∅
- Opposite length = 125 ft
- Adjacent length = 172 ft
Apply the tangent ratio:
tan ∅ = 125/172
tan ∅ = 125/172
∅ = tan^(-1)(125/172)
∅ ≈ 36°
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The distance between the flagpole and the building is the number of feet between them
The building is 162 feet from the flagpole
<h3>How to determine the distance</h3>
The given parameters are:
- Flagpole = 40 feet
- Building Shadow = 324 feet
The flagpole's shadow is 50% longer than the flagpole.
So, the length (l) of the flagpole's shadow is:


The length of the building's shadow (d) is then calculated as:

Express as fraction


Solve for d


The distance (x) of the building from the flagpole is then calculated as:


Hence, the building is 162 feet from the flagpole
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