How high is a tree that casts a 26-ft shadow at the same time a 8-ft post casts a shadow which is 11-ft long?
12 ft
x/26 = 6/13
13x = 26*6
13x = 156
x = 156/13
x = 12
6/13 ?? where did that come from?
x/26 = 8/11
To find the height of the tree, we can use a proportion.
Let's denote the height of the tree as 'h'. We know that the tree's shadow is 26 ft long, and the length of the post's shadow is 11 ft.
We can set up a proportion using the relationship between the height and the length of the shadow:
h / 26 = 8 / 11
To solve this proportion, we cross-multiply:
11h = 26 * 8
Now we can solve for 'h' by dividing both sides of the equation by 11:
h = (26 * 8) / 11
Using a calculator, we can compute this:
h ≈ 18.909 ft
Therefore, the height of the tree is approximately 18.909 ft.