Grace is in an elevator in a parking garage where she is 32.8 feet below ground. She rides the elevator up 109.5 feet. Where is she now with respect to ground level?
To find out where Grace is now with respect to ground level, we need to calculate the total distance travelled by the elevator.
Starting from 32.8 feet below ground, when the elevator goes up 109.5 feet, it will cover a total distance of 32.8 + 109.5 = <<32.8+109.5=142.3>>142.3 feet.
Therefore, Grace is currently 142.3 feet above ground level.
To determine where Grace is now with respect to ground level, we need to calculate the net vertical displacement.
Given:
Initial position: 32.8 feet below ground level
Rides the elevator up: 109.5 feet
To calculate the net vertical displacement, we will subtract the initial position from the upward displacement.
Net vertical displacement = Upward displacement - Initial position
Net vertical displacement = 109.5 feet - (-32.8 feet)
Net vertical displacement = 109.5 feet + 32.8 feet
Net vertical displacement = 142.3 feet
Therefore, Grace is now 142.3 feet above the ground level.
To determine where Grace is now with respect to ground level, we need to consider her initial position and the direction of her movement.
Given that Grace is initially 32.8 feet below ground level, we can represent her initial position as -32.8 feet. The negative sign indicates that she is below ground level.
She then rides the elevator up 109.5 feet. The upward movement corresponds to a positive direction.
To find her current position, we need to add her initial position to the distance she moved. Therefore, we calculate:
-32.8 feet + 109.5 feet = 76.7 feet
Considering the direction, the positive result indicates that Grace is now 76.7 feet above ground level.