Answer:
The first option is the correct option
Step-by-step explanation:
From the question the slope AC is evaluated as
And the slope of line CB is mathematically evaluated as
Now for lines that are perpendicular to each other then the product of their slope should be equal to -1
So if
Then
i,e
Answer: 9.97
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Explanation:
y = distance from the base of the pole to the closest person
y+200 = total horizontal distance
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Focus on the smaller right triangle.
tan(angle) = opposite/adjacent
tan(26) = 55/y
y*tan(26) = 55
y = 55/tan(26)
y = 112.76671 approximately
Make sure your calculator is in degree mode.
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Now move to the larger right triangle
tan(angle) = opposite/adjacent
tan(x) = 55/(y+200)
tan(x) = 55/(112.76671+200)
tan(x) = 55/312.76671
tan(x) = 0.17585
x = arctan(0.17585) same as
x = 9.97349
x = 9.97 degrees approximately