A rope 29 ft long rope is tied to the top of a flag pole. The rope is staked to the ground 21 ft away from the base of the pole.
How tall is the flag pole?
A)
20 ft
B)
28 ft
C)
32 ft
D)
36 ft
A)
20 ft
B)
28 ft
C)
32 ft
D)
36 ft
2 answers:
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Answer:
Step-by-step explanation:
A locus can be defined as a curve or figure formed by all the points satisfying a particular equation of the relation between coordinates.
The condition stated in the question is such that a generic (x,y) point of the curve is equidistant from the points A(2,3) and B(6,1).
The distance d1 from (x,y) to (2,3) is:
The distance d2 from (x,y) to (6,1) is:
Since d1=d2:
Squaring both sides:
Operating:
Simplifying all the squares:
Moving the variables to the left side and the numbers to the right side:
Simplifying:
Dividing by 4:
Or, equivalently: