A board was nailed diagonally across the end of a square platform used at construction sites
Which is closest to the length of the board?
A.28 ft.
B.25 ft.
C.20 ft.
D.23 ft.
I think one must be clairvoyant to answer this. My crystal ball is hazy today.
Sure hope Anabeth does :)
Do you see the problem with your question? Was there supposed to be a graphic showing a board or something?
Yes and ??
Wait are you a teacher?
Both Writeacher and I are tutors on this site. It appears to us that there just isn't enough information to answer your question. Perhaps one of the physics/math profs will prove us wrong. We'll see!
We need to know the length of a side of the square and does the diagonal go from one corner to the opposite corner or just cut off a corner of a corner?
If the side length is s and it goes from the northeast corner to the southwest corner the the length is the hypotenuse of a right triangle with sides s.
h = sqrt(s^2 + s^2) = s sqrt 2
Or in other words we need to be cleaning our crystal ball because we don't know any of those details.
haha??? whats if i may ask with the crystal ball?its probably like a lamp cause my lamp is circle and yeah ???? but i just need the anwser from your "crystal ball" thats all
To find the length of the board nailed diagonally across the end of a square platform, we can use the Pythagorean theorem. According to the theorem, in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this scenario, the square platform forms a square right triangle with one side being the length of the platform, and the other side being the width of the platform. Let's assume the length of the platform is 'x' feet.
Using the Pythagorean theorem:
Hypotenuse^2 = Length^2 + Width^2
Plugging in the values:
Hypotenuse^2 = x^2 + x^2
Hypotenuse^2 = 2x^2
To find the length of the hypotenuse (the board), we need to find the square root of 2x^2:
Hypotenuse = √(2x^2)
Hypotenuse = √2 * √(x^2)
Hypotenuse = √2 * x
Now, we need to determine the closest option among the given choices:
A. 28 ft:
Closest to 28 ft would be sqrt(2) * 14 ft = 19.80 ft
B. 25 ft:
Closest to 25 ft would be sqrt(2) * 12.5 ft = 17.68 ft
C. 20 ft:
Closest to 20 ft would be sqrt(2) * 10 ft = 14.14 ft
D. 23 ft:
Closest to 23 ft would be sqrt(2) * 11.5 ft = 16.26 ft
Among the given options, the closest length to the board would be 20 ft (option C).