Final answer:
The height of the tree calculated using the formula for distance of an object under gravity for 1.5 seconds is 11.025 meters, but the closest provided option is 'b. The height of the tree is 10 meters.'
Step-by-step explanation:
To calculate how tall the tree is based on the ball falling for 1.5 seconds, we can use the equation of motion for an object under the influence of gravity. The formula for distance when an object is dropped (with an initial velocity of 0 m/s) is given by d = ½gt², where d is the distance in meters, g is the acceleration due to gravity (9.8 m/s² on Earth), and t is the time in seconds that the object has been falling.
Plugging in the values into the formula gives us: d = ½ * 9.8 m/s² * (1.5 s)² = 0.5 * 9.8 * 2.25 = 11.025 meters. Since this height is not one of the options provided, it's possible there might be a slight difference in the given multiple-choice answers. The correct value by calculation is 11.025 meters, but the closest answer from the options would be:
b. The height of the tree is 10 meters.