Question

A tree that is 14 feet tall casts a shadow that is 7 feet long. What is the distance from the top of the tree to the tip of the shadow? Round to the nearest tenth. 15.7 feet 12.1 feet 4.6 feet 2.6 feet

Answer 1

Answer: To find the distance from the top of the tree to the tip of the shadow, we can use the concept of similar triangles.

Let:

h = height of the tree (given as 14 feet)

s = length of the shadow (given as 7 feet)

x = distance from the top of the tree to the tip of the shadow (what we want to find)

Since the tree and its shadow form similar right triangles, we can set up the following proportion:

h/s = x/s

Now, plug in the known values:

14/7 = x/s

Now, solve for x:

x = (14/7) * s

x = (14/7) * 7

x = 14 feet

So, the distance from the top of the tree to the tip of the shadow is 14 feet. The correct answer is not one of the options provided.