How high is a treethat cast a 26-ft shadow at the same time a 4-ft pole cast a shadow which is 7-ft long? The hieght of the tree is____ ft. I believe that this answer is 23-ft tall is that correct?
no,
you have 2 similar triangles so just set up a simple ratio
h/26 = 4/7
h = (4/7)(26) = 14.857 or appr 15 ft
thank you, Reiny
To find the height of the tree, you can use similar triangles. Let's label the height of the tree as 'x'.
According to the given information, the length of the shadow cast by the tree is 26 ft, and the length of the shadow cast by the 4-ft pole is 7 ft.
Using the principle of similar triangles, we can set up the following ratio:
Height of the tree / Length of the tree's shadow = Height of the pole / Length of the pole's shadow
Plugging in the values, we get:
x / 26 ft = 4 ft / 7 ft
To solve for x, we can cross-multiply and solve for x:
7x = 4 * 26
7x = 104
x = 104 / 7
x ≈ 14.86 ft
Therefore, the height of the tree is approximately 14.86 ft, not 23 ft as you believed.