Answer:
14.8 degrees
Step-by-step explanation:
We can use the tangent function to solve for the angle:
tan θ = opposite/adjacent
tan θ = 6/unknown height
To find the unknown height, we can use the Pythagorean theorem:
hypotenuse^2 = opposite^2 + adjacent^2
24^2 = 6^2 + height^2
576 = 36 + height^2
height^2 = 540
height = √540
height ≈ 23.24 ft
Now we can substitute this value into the tangent equation:
tan θ = 6/23.24
Using a calculator, we can solve for θ:
θ ≈ 14.8 degrees
Therefore, the angle formed by the beam with the ground is approximately 14.8 degrees.
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Answers & Comments
Answer:
14.8 degrees
Step-by-step explanation:
We can use the tangent function to solve for the angle:
tan θ = opposite/adjacent
tan θ = 6/unknown height
To find the unknown height, we can use the Pythagorean theorem:
hypotenuse^2 = opposite^2 + adjacent^2
24^2 = 6^2 + height^2
576 = 36 + height^2
height^2 = 540
height = √540
height ≈ 23.24 ft
Now we can substitute this value into the tangent equation:
tan θ = 6/23.24
Using a calculator, we can solve for θ:
θ ≈ 14.8 degrees
Therefore, the angle formed by the beam with the ground is approximately 14.8 degrees.