A snow tubing lane is 200 yards with a vertical drop of 45 yards. What is the angle of depression? please help
To find the angle of depression, we can use basic trigonometry. The angle of depression is the angle formed between a horizontal line and the line of sight from an observer to a point below.
In this case, the observer is at the top of the snow tubing lane, and the point below is the bottom of the vertical drop.
Let's label the sides of the triangle formed:
1. The side opposite to the angle of depression is the vertical drop, which is 45 yards.
2. The side adjacent to the angle of depression is the horizontal distance, which is 200 yards.
Now, we can use the tangent function, which is defined as the ratio of the opposite side (the vertical drop) to the adjacent side (the horizontal distance).
The formula for tangent is: tangent(angle) = opposite / adjacent
So, in this case, the equation is: tangent(angle) = 45 yards / 200 yards
To find the angle, we need to take the inverse tangent (also called arctangent) of this ratio.
Using a scientific calculator or a math software, we can find the inverse tangent of (45/200) to determine the angle of depression.
The result is approximately 13.8 degrees.
Therefore, the angle of depression for the snow tubing lane is approximately 13.8 degrees.