A tree casts a shadow of 28 feet. At the same time, a biologist who is 7 feet tall casts a shadow of 2 feet.
How tall is the tree?
98
7/2 = x/28
Cross multiply and solve for x.
To find the height of the tree, we can set up a proportion using the heights and shadows.
Let's represent the height of the tree as "x".
Based on the information given, we can set up the following proportion:
(tree height) / (tree shadow) = (biologist height) / (biologist shadow)
Plugging in the values we have:
x / 28 = 7 / 2
To solve this proportion, we can cross-multiply:
2x = 28 * 7
2x = 196
Now, we can solve for "x" by dividing both sides of the equation by 2:
x = 196 / 2
x = 98
Therefore, the height of the tree is 98 feet.
To find the height of the tree, we can use a proportion. The length of the shadow is proportional to the height of the object.
Let's set up the proportion:
Tree height / Tree shadow = Biologist height / Biologist shadow
Now, plug in the values:
Tree height / 28 feet = 7 feet / 2 feet
To solve for the tree height, cross-multiply:
Tree height * 2 feet = 7 feet * 28 feet
Divide both sides by 2 feet to isolate the tree height:
Tree height = (7 feet * 28 feet) / 2 feet
Calculating this equation:
Tree height = 196 feet / 2 feet
Tree height = 98 feet
Therefore, the tree is 98 feet tall.