Let L represent the ladder length, and x the distance the horiz. ladder reaches out from the wall. Then L = x + 3, where x is the distance of the bottom of the ladder from the wall when the top of the ladder is 9 ft. above the ground.
Consider the triangle formed by the hypotenuse (L, same as ladder length), the (vertical) side opposite the angle formed by the hypo. (with length 9 ft) and the horiz side (which we will call x). Then, according to the Pythagorean Theorem,
L^2 = x^2 + 9^2. But L = x + 3, and L^2 = x^2 + 6x + 9 = x^2 + 9^2. Solving this equation results in x=3. 6x + 9 = 9^2, or
6x + 9 = 81
6x = 72
x = 12
But L = x+3. So L=12+3, or L = 15 (feet).
Answer:
23 days
Step-by-step explanation:
We are told that the stadium holds 7500 individuals.
Now, if 600 seats have already been made, It means the number of seats left to be made to complete the stadium = 7500 - 600 = 6900 seats
We are told that 300 seats can be made in a day. Thus, number of days to be used to finish the remaining seats = 6900/300 = 23 days
Thus, it will take 23 days to complete all the 7500 seats.
