Sommy the squirrel wanted to climb a small hill to gather some acorns. The hill was 2 meters high, and he started at a spot 5 meters alwely from the base. How steep is hill?

To find out how steep the hill is, we can use the concept of slope, which is typically calculated as the rise over the run. In this case, the rise is the height of the hill (2 meters), and the run is the horizontal distance from Sommy’s starting point to the base of the hill (5 meters). Slope = rise/run = 2 meters / 5 meters = 0.4. That means the hill has a slope of 0.4, indicating it isn’t overly steep, making it just the right challenge for our adventurous Sommy! Now, if we were to think about degrees, we can convert the slope into an angle using some trigonometry. The angle of elevation can be found using the tangent function, where the tangent of the angle (θ) is the slope. Therefore: θ = arctan(0.4) which is roughly 21.8 degrees. So, Sommy's hill is about 21.8 degrees steep, giving him a fun little workout while he gathers his acorns!