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Answer: the flagpole is 16 feet tall.
Step-by-step explanation:
A right angle triangle is formed.
The distance of the point on the ground from the base of the flagpole represents the adjacent side of the right angle. The height of the flagpole from the ground represents the opposite side of the right angle.
To determine the height, h of the flagpole, we would apply the Tangent trigonometric ratio.
Tan θ, = opposite side/adjacent side. Therefore,
Tan 53 = h/12
h = 12Tan53 = 12 × 1.327
h = 16 feet to the nearest whole number
The height of flagpole is 15.925 feet.
Let us consider the height of flagpole is h feet.
Since, angle of elevation is 53 degree.
According to question statement, a right triangle is formed where base is 12 feet .
We have to find height i.e. height of flagpole
[tex]tan53=\frac{h}{12} \\\\h=12*tan53\\\\h= 12*1.327\\\\h=15.925feet[/tex]
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