a man is 6ft tall and he casts a shadow of 5 ft, if a tree casts a 30ft shadow, how tall is the tree?
When you cross multiply, you multiply the two farthest terms for the numerator and the two closest terms for the denominator.
5/6 = 30/x
5x = 6 * 30
5x = 180
x = ?
Cross multiply this ratio and solve for x.
5/6 = 30/x
5/6=30/x
You can see that 5 was multiplied by 6 to get 30. In order to keep the fraction the same, you'll also have to multiply the 6 in the denominator by 6 to get 36 as your value for x, which in this case represents the height of the tree in feet.
X=36
Right. The tree is 36 feet tall.
To find out the height of the tree, we can set up a ratio comparing the height of the man to the length of his shadow, and then use this ratio to find the height of the tree.
Let's denote the height of the man as "h" and the length of his shadow as "s." According to the given information, the man is 6 feet tall and his shadow is 5 feet long. So we have:
h (height of man) / s (length of shadow) = 6ft / 5ft
Now, let's use this ratio to find the height of the tree. We know that the tree's shadow is 30 feet long. Let's denote the height of the tree as "T." So, we have:
h (height of man) / s (length of shadow) = T (height of tree) / 30ft
Now, let's substitute the known values into the ratio:
6ft / 5ft = T (height of tree) / 30ft
To solve for T (the height of the tree), we can cross-multiply and then solve for T:
6ft * 30ft = 5ft * T
180ft = 5ft * T
Dividing both sides of the equation by 5ft:
180ft / 5ft = T
36ft = T
Therefore, the tree is 36 feet tall.