Final answer:
To determine how far the helmet must be down from the straight line drawn between the top of the main hoop to the top of the front hoop, we need to consider the angles involved. Using trigonometry, we can find the distance by multiplying the hypotenuse by the cosine of the angle.
Step-by-step explanation:
To determine how far the helmet must be down from the straight line drawn between the top of the main hoop to the top of the front hoop, we need to consider the angles involved. Let's call the distance between the top of the main hoop and the top of the front hoop 'd'. If we draw a perpendicular line from the top of the main hoop to the straight line connecting the two hoops, we can form a right triangle. The distance between the helmet and the straight line will be the length of the adjacent side of this triangle.
Using trigonometry, we can find the value of this adjacent side. The cosine of the angle formed between the straight line and the line connecting the helmet to the top of the main hoop is equal to the adjacent side (distance between the helmet and the straight line) divided by the hypotenuse (distance between the top of the front and main hoops).
So, the formula to find the distance the helmet must be down from the straight line is:
d * cos(angle) = distance between the helmet and the straight line