jane is standing next to a tree. the tree casts a shadow that is 11.2 ft long. she is 5.6 ft tall and her shadow measures 3.8 ft. How tall is the tree?
Cross multiply and solve for x.
5.6/3.8 = x/11.2
16.5 ft tall
thank u
To find the height of the tree, we can use the concept of proportions.
Let's set up the proportion:
Jane's height / Jane's shadow length = Tree's height / Tree's shadow length
Now, let's substitute the values we know:
Jane's height = 5.6 ft
Jane's shadow length = 3.8 ft
Tree's shadow length = 11.2 ft
Plugging these values into the proportion, we get:
5.6 ft / 3.8 ft = Tree's height / 11.2 ft
To find the height of the tree, we can cross multiply and solve for the unknown variable:
(5.6 ft * 11.2 ft) / 3.8 ft = Tree's height
Calculating this expression, we find that the tree's height is approximately 16.47 ft. Therefore, the tree is approximately 16.47 ft tall.