A person is standing 50meters away from a target whos center is 90cm off the ground. The height to the person's eyes is 66inches. Find the correct height for the target if the person is standing 4.5 meters from the target.
I have tried a couples times to solve this problem and each time I try a different method and get a different answer. Can someone tell me what they get when they solve? And how you did it? Thnx
what determines the "correct height" of the target?
why are all the units in metric and the height of the person's eyes in inches?
well I need to know the equivalent height of the target at 4.5meteres. I am given the information for the target and everything at 50m and I suposed to figure it out for 4.5m. I have to convert all the measurements into meters to solve. I need the height of the person's eyes to help determine the height of the target at 4.5 meters. I think I need to set up some type of triangle and solve but not sure how to get the right answer.
To solve this problem, we can use similar triangles and proportionality.
Let's label the height of the target as 'h' and the distance from the person to the target as 'x'.
We have the following proportions:
Height of person / Distance to person = Height of target / Distance to target
Given:
Height of person = 66 inches
Distance to person = 50 meters = 5000 centimeters
Distance to target = 4.5 meters = 450 centimeters
Solving for the height of the target (h):
66 inches / 5000 centimeters = h / 450 centimeters
Now, let's proceed with the calculations:
h = (66 inches * 450 centimeters) / 5000 centimeters
First, let's convert inches to centimeters:
1 inch = 2.54 centimeters
So, 66 inches = 66 * 2.54 cm = 167.64 cm
Substituting the values:
h = (167.64 cm * 450 cm) / 5000 cm
Now, multiply the numbers and divide by the common unit:
h = 75338.8 cm^2 / 5000 cm
h ≈ 15.0676 cm
Therefore, the correct height for the target, when the person is standing 4.5 meters away, is approximately 15.0676 centimeters.