Q1.A tree was chopped by the Samuels family for the holidays. How tall was the tree originally if the piece they chopped down was 7feet tall, and fell 4 feet from the stump?
Q2. Mr pratt's rake is leaning up against a wall. If the top of the rake hits the wall 5 feet above the ground, and the bottom of the rake is 3 feet from the wall. Approximately how long is his rake? ( round to the nearest foot)
#1
"How tall was the tree originally if the piece they chopped down was 7feet tall"
??? 7 ft tall ?
#2 , x^2 = 5^2 + 3^2 = 34
x = √34 = appr 5.83 ft or 6 ft to the nearest foot
And what about question2
I mean idon't get question #1
It appears that the chopped piece fell 4 feet. So, the tree was 4+7=11 feet tall.
Thanks
To answer these questions, we need to apply some basic geometry principles.
Q1. To determine the height of the original tree, we can add the height of the chopped piece to the distance it fell from the stump. Here's how we can calculate it:
Original tree height = height of the chopped piece + distance fallen from the stump
Given that the height of the chopped piece is 7 feet and it fell 4 feet from the stump, the original tree height would be:
Original tree height = 7 feet + 4 feet
Original tree height = 11 feet
Therefore, the original tree was 11 feet tall.
Q2. To approximate the length of Mr. Pratt's rake, we can use the Pythagorean theorem. According to the theorem, the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. In this case, we know the height and the distance of the rake from the wall, which forms a right angle, so we can apply the theorem to find the length of the rake.
Length of the rake^2 = height of the wall^2 + distance of the rake from the wall^2
Given that the height of the wall is 5 feet and the rake is 3 feet from the wall, we can calculate the approximate length of the rake as follows:
Length of the rake^2 = 5 feet^2 + 3 feet^2
Length of the rake^2 = 25 feet^2 + 9 feet^2
Length of the rake^2 = 34 feet^2
To find the actual length, we need to take the square root of both sides:
Length of the rake ≈ √34 feet ≈ 5.83 feet
Therefore, rounding to the nearest foot, Mr. Pratt's rake is approximately 6 feet long.