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 ?
2 answers:
Answer:
The height of the flag pole is 20 feet .
Step-by-step explanation:
As given
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.
As shown in the figure given below.
By using the pythagorean theorem
Hypotenuse² = Perpendicular² + Base²
AC² = AB² + BC²
As
AC = 29 feet
BC = 21 feet
Put in the above
29² = AB² + 21²
841 = AB² + 441
841 -441 = AB²
400 = AB²
AB = 20 feet
Therefore the height of the flag pole is 20 feet .
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