You decide to take a hot air balloon ride and remember to take binoculars to look around while you are airborne. As the balloon rises, you use a GPS to determine your height in meters, h, and the distance in kilometers, d, to the farthest object that you can see. The table below shows the two measurements.

Height in meters 15 30 45 60 75 90 105
Distance in kilometers 13.833 19.562 23.959 27.665 30.931 33.833 36.598

1. Determine a function that could be used to model the data in the table.
Make sure to use h for height and d for distance.

2. If the balloon is 800 meters high, what is the farthest distance that you would be able to see? Round answer to the nearest whole number

3. What type of function best models the data in the table?

4. A building is 16km away. What height does the balloon have to rise for the building to be visible. Round the answer to nearest whole number.