Answer:
12.2 feet
Step-by-step explanation:
The key to this problem is trigonometry.
Imagine a right triangle. With a height, 10 ft (representing the tree's height), and a base of 7 ft (representing the horizontal distance to the worm).
Now the hypoteneuse length, or otherwise the distance from the worm is unknown.
So this is where we can use the pythagorean theorem.
here is the hypoteneuse length, and
and
are the other lengths of the triangle.
Since we know a and b we can solve for c.
But first we will square root both sides of the equation to get and not
.
Now just plug in our values for a and b respectively. (It doesn't matter what number replaces a or b, just make sure you are replacing a and b with the 2 known values) Calculate.
Round to the nearest tenth.
feet