Question

A flagpole is 45 feet tall. A rope is tied to the top of the flag pole and secured to the ground 10 feet from the base of the flagpole. Will a 35 foot piece of rope be long enough to secure the flagpole? Justify your answer.
i give brainliest

Answer 1

Answer:

So the answer would be no, because the length of the rope is needs to be 46 and 35 is not long enough

Step-by-step explanation:

A flagpole, rope and the length of secure point from the flagpole are forming the right triangle, where the rope is a hypotenuse. Let a = 45 and b = 10ft. Use Pythagorean Formula to find length of the rope c

a² + b² = c²

Since we are going to solve for c, we set up the equation like this:

c² = 45² + 10²  (Substitute into formula)

c² = 2,025 + 100 (Add)

c² = 2,125 (Simplify)

√c² = √2,125 (Take the square root from both sides)

c = 46.09772228646444 (Round to the nearest whole number)

c = 46

So the answer would be no, since the length of the rope needs to be 46ft long and a 35 foot piece of rope is not long enough.