if the two people are the same distance from the pole and 25 feet from each other, find the height of the pole if the angle of elevation from the ground to the top of the pole at each person's position is 56 degrees.
It is possible when the two persons stand at say north of the pole or east of the pole since the angle of elevation is the same.
The distance between them is 25 feet.
They are standing at 25/sqrt(2)= 17.68 from the bottom of the pole
Let the height of the flag is x feet
x/17.68 =tan(56 degrees)
tan (56 degrees) =1.4825
x =17.56 * tan (56 degrees) =17.56*1.4825= 26.208 =26.2
Answer: height of the flagpole =26.2 feet
Reference for the figure:
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