Question

7. Adrian is standing on the ground 12 ft from the base of a tree that is 5 feet tall. Sofi is standing on the ground 8 ft closer to the base of the tree than Adrian. What’s the distance from Adrian’s location on the ground to the top of the tree? *6.4139.914.4

Answer 1

We can represent the situation using the following drawing:

Now, we can see that we have a right triangle, and we can find the distance using the Pythagorean Theorem as follows:

`d^2=(12ft)^2+(5ft)^2`

Now, we have:

`d^2=144ft^2+25ft^2\Rightarrow d^2=169ft^2`

If we take the square root to both sides of the equation, we will have:

`\sqrt[]{d^2}=\sqrt[]{169ft^2}\Rightarrow d=13ft`

In summary, therefore, the distance from Adrian's location on the ground to the top of the tree is 13ft (Second Option).