Martha climbs 40 steps to reach the first floor of a building. If the vertical and horizontal distance of each step is 1.5 ft and 1 ft, find the distance between the start and end points of each step.
looks like just plain ol' Pythagoras.
x^2 = 1.5^2+1^2 = 3.25
x = √3.25 = appr 1.8
To find the distance between the start and end points of each step, we can use the Pythagorean theorem.
Let's assume the vertical distance of each step is 1.5 ft (V) and the horizontal distance is 1 ft (H).
The distance between the start and end points of each step can be found using the formula:
Distance = sqrt(V^2 + H^2)
Substituting the given values:
Distance = sqrt((1.5 ft)^2 + (1 ft)^2)
= sqrt(2.25 ft^2 + 1 ft^2)
= sqrt(3.25 ft^2)
= 1.80 ft (approximately)
Therefore, the distance between the start and end points of each step is approximately 1.80 ft.
To find the distance between the start and end points of each step, we can use the Pythagorean theorem. The Pythagorean theorem states that the square of the hypotenuse (the distance between the start and end points of a step) is equal to the sum of the squares of the other two sides of the right triangle formed by the step.
In this case, the vertical distance of each step is 1.5 ft and the horizontal distance is 1 ft. Let's label the vertical distance as 'a' and the horizontal distance as 'b'. We can then use the Pythagorean theorem equation:
c^2 = a^2 + b^2
where c is the distance between the start and end points of the step.
Plugging in the values, we have:
c^2 = (1.5 ft)^2 + (1 ft)^2
= 2.25 ft^2 + 1 ft^2
= 3.25 ft^2
Now, we can take the square root of both sides to find the value of 'c':
c = √(3.25 ft^2)
≈ 1.8 ft
Therefore, the distance between the start and end points of each step is approximately 1.8 feet.