Answer: 49 degrees (approximately)
Explanation:
To find the angle of elevation from the ground, we can use trigonometry. Since we know the height of the tower (120 feet), we need to find the distance from the tower to the observer. Without this distance, we cannot calculate the angle accurately.
However, if we assume that the observer is standing at a fixed distance from the base of the tower, we can still provide an example calculation. Let's say the observer is standing 100 feet away from the base of the tower.
In this case, we can use the tangent function to find the angle of elevation. The tangent of an angle is equal to the opposite side divided by the adjacent side. In this scenario, the opposite side is the height of the tower (120 feet) and the adjacent side is the distance from the observer to the base of the tower (100 feet).
Using the tangent function, we can write:
tan(angle) = opposite/adjacent
tan(angle) = 120/100
To find the angle, we need to take the inverse tangent (or arctangent) of both sides:
angle = arctan(120/100)
Using a calculator, we can find the angle to be approximately 49 degrees (rounded to the nearest degree).
Therefore, if the observer is standing 100 feet away from the base of the tower, the angle of elevation from the ground would be approximately 49 degrees. However, please note that this value may change depending on the actual distance between the observer and the base of the tower.
Hope this helps.