Karen is 63 inches tall and casts a shadow that is 32 inches long. At the same time, a tree casts a shadow that is 81 inches long. How tall is the tree?
Cross multiply and solve for x.
63/32 = x/81
well first, you set up a poportion 63 over 32,= x over 81. cross multiply 32*x is 32x cross multiply 63 * 81=5,103. 5,103/32x is 159.46...hope this helps..
To find the height of the tree, we can use a proportion based on the lengths of the shadows and the corresponding heights.
We can set up the proportion as follows:
Karen's height / Karen's shadow length = Tree's height / Tree's shadow length
Let's substitute the given values into the proportion:
Karen's height / 32 inches = Tree's height / 81 inches
Now, we can cross-multiply and solve for the height of the tree:
Karen's height * Tree's shadow length = Tree's height * Karen's shadow length
63 inches * 81 inches = Tree's height * 32 inches
5,103 inches = Tree's height * 32 inches
Next, divide both sides of the equation by 32 inches to isolate Tree's height:
Tree's height = 5,103 inches / 32 inches
Calculating the division: 5,103 / 32, we find that the height of the tree is approximately 159.47 inches.
Therefore, the tree is approximately 159.47 inches tall.