Leo is looking down, from the roof of a building, at a dump truck that is parked on the road. The angle of depression to the front of the truck is , and the building is 37 m tall. What is the distance between the base of the building and the front of the truck?
To find the distance between the base of the building and the front of the truck, we can use trigonometry. Since we have the angle of depression and the height of the building, we can use the tangent function.
Let's denote the distance between the base of the building and the front of the truck as "x".
In this scenario, the angle of depression is the angle between the line of sight from Leo to the front of the truck and a horizontal line. Since we don't have the value of the angle, I'll assume that the value is missing in the question and continue with the explanation.
Using the tangent function, we have:
tangent(angle of depression) = opposite side / adjacent side
In this case, the opposite side is the height of the building (37 m) and the adjacent side is the distance between the base of the building and the front of the truck (x). So we have:
tangent(angle of depression) = 37 / x
Now, we can solve for x by rearranging the equation:
x = 37 / tangent(angle of depression)
However, since the value of the angle of depression is missing, we need more information to calculate the distance between the base of the building and the front of the truck.