A 6 ft person has a shadow 5ft long. A nearby tree has a shadow 30ft long. How tall is the tree?
Cross multiply and solve for x.
6/5 = x/30
To find the height of the tree, we can set up a proportion using the measurements of the person and their shadow, and the measurements of the tree and its shadow.
Let's denote the height of the tree as "h" feet. We know that the height of the person is 6 feet and their shadow is 5 feet. Similarly, the shadow of the tree is 30 feet.
We can set up the proportion:
(person's height) / (person's shadow) = (tree's height) / (tree's shadow)
In this case, it would be:
6 / 5 = h / 30
To solve for h, we can cross multiply and then divide:
6 * 30 = 5h
180 = 5h
Divide both sides by 5:
180 / 5 = h
36 = h
Therefore, the height of the tree is 36 feet.