if a human was 56 inches and his shadow was 49 inches and the shadow of the monument he is standing next to is 28 feet how tall is the monument A:24.5 B:30 C:32 D:35
So what you do is you have to cross multiply 56x28 and 'X'x49. Try each of the answer choices in place of 'X' and whichever matches the product of 56 and 28 is your answer. (yw btw)
56/49 = x/28
Cross multiply and solve for x.
oh thx
To find the height of the monument, we need to use the concept of proportional ratios, also known as similar triangles.
Let's start by setting up a proportion to relate the human's height to their shadow length:
Height of the human / Length of human's shadow = Height of the monument / Length of monument's shadow
Now we can plug in the given values:
56 inches / 49 inches = Height of the monument / 28 feet
To make the units consistent, we need to convert the height of the monument shadow from feet to inches. Since 1 foot is equal to 12 inches, we have:
28 feet * 12 inches/foot = 336 inches
Now we can solve for the height of the monument.
To find the height of the monument, we cross-multiply and then divide:
56 inches * 336 inches = 49 inches * Height of the monument
Height of the monument = (56 inches * 336 inches) / 49 inches
Calculating the above expression, we get approximately 384 inches.
Converting the height of the monument back to feet, we divide by 12:
384 inches / 12 inches/foot = 32 feet
Therefore, the answer is C: 32 feet.