A 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

option A is the correct answer.

Step-by-step explanation:

The rope, the flagpole and the ground would form a right angle triangle. The length of the rope represents the hypotenuse of the right angle triangle. The vertical height of the flagpole represents the opposite side of the right angle triangle. The distance from the point where the rope is staked to the ground to the base of the pole represents the adjacent side of the right angle triangle.

To determine the height if the flagpole h, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

29² = 21² + h²

841 = 441 + h²

h² = 841 - 441 = 400

h = √400 = 20 ft

a4 - 3a2 - 1

step-by-step explanation:

step   1   :

equation at the end of step   1   :

  ((a4) -   3a2) -   1

step   2   :

trying to factor by splitting the middle term

2.1     factoring   a4-3a2-1  

the first term is,   a4   its coefficient is   1 .

the middle term is,   -3a2   its coefficient is   -3 .

the last term, "the constant", is   -1  

a 270° rotation about point p says on e d g e n u it y (had to space it out because it says it's a misspelling so i couldn't submit it