The points of the graph are: (1,1), (2,2), (3,4), (4,8).
Then the sequence is:
- for the x-coordinate: 1, 2, 3, 4, 5, 6, 7, ...
- for the y-coordinate: 1, 2, 4, 8, which is: 2^0, 2^1, 2^2, 2^ 3, ... so the next y-coordinates are 16, 32, 64, 128, ...
So, the sequence is: 1, 2, 4, ,8, 16, 32, .... 2^x.
To solve this problem, draw the situation for a better comprehension:
As we can see, the situation describes a right triangle and we can use pythagorean theorem to solve it.
To do this, use the corresponding units.
For inches:
![\begin{gathered} h=\sqrt[]{84^2-48^2} \\ h=\sqrt[]{7056-2304} \\ h=\sqrt[]{4752} \\ h=68.9 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20h%3D%5Csqrt%5B%5D%7B84%5E2-48%5E2%7D%20%5C%5C%20h%3D%5Csqrt%5B%5D%7B7056-2304%7D%20%5C%5C%20h%3D%5Csqrt%5B%5D%7B4752%7D%20%5C%5C%20h%3D68.9%20%5Cend%7Bgathered%7D)
The suspect is 68.9 inches high.
Convert this height to feet:

The suspect is 5.74 feet high.
1/2 of 8 is 4 so then 1/2 of 4 is 2
so the lawn ornament is 4 ft