Final answer:
In the given scenario, keys falling straight down from a 50-meter tower do not create a horizontal distance from the base of the tower in a right triangle diagram, thus the angle is not necessary for calculation. In typical situations with horizontal motion, trigonometric functions are used with angles to calculate distances. The pertinent information is the vertical distance the keys dropped, which is 50 meters.
Step-by-step explanation:
If your keys dropped from the top of a 50-meter tall tower and made an 86-degree angle with the ground, you're likely dealing with calculating the horizontal distance from the base of the tower to where the keys landed. To represent this scenario, we can draw a right triangle, where the height of the tower forms one leg of the triangle, the horizontal distance the keys landed from the base of the tower forms the other leg, and a line from the top of the tower to where the keys landed forms the hypotenuse. However, the keys fell straight down, which means that the distance from the base would be directly underneath the drop point, leading to no horizontal leg to measure in this idealized case.
Nonetheless, for illustration purposes:
- The vertical leg (height of the tower) would be 50 meters.
- The angle given is not necessary for calculating the horizontal distance in this scenario, as no horizontal motion is involved.
- In a different situation with horizontal motion, such as a projectile, trigonometric functions from the angle to the vertical are used to calculate the horizontal distance, which is not applicable here.
The correct diagram option reflecting the drop would be:
- Diagram: Height = 50m, Angle = Not Applicable (keys fall straight down)
To find distances in a right triangle with an angle, one would typically use trigonometric functions such as sine, cosine, and tangent alongside the known angle to find unknown sides. However, in this case, we are interested in the vertical drop, which does not require the angle for computation.