The man who is 1.9 meters tall is standing near a 5-meter flag pole. If the man casts a 2.4-meter
shadow, how far from the pole is the man standing?
Did you draw a diagram?
using similar triangles. you can see that
(x+2.4)/5 = 2.4/1.9
cool what’s the answer
To determine how far the man is standing from the flag pole, we can use similar triangles. The height of the man, the length of his shadow, and the height of the flag pole form a right triangle.
Let's break down the problem and assign variables:
- Height of the man = 1.9 meters
- Length of the man's shadow = 2.4 meters
- Height of the flag pole = 5 meters
- Distance of the man from the flag pole = ? (to be determined)
To find the distance from the man to the flag pole (let's call it 'x'), we can set up a proportion using the similar triangles:
(man's height) / (man's shadow) = (flag pole's height) / (distance from the pole)
Using the values from the problem, we have:
1.9 / 2.4 = 5 / x
Now, we can solve for x:
1.9x = 2.4 * 5
1.9x = 12
x = 12 / 1.9
x ≈ 6.32 meters
Therefore, the man is standing approximately 6.32 meters away from the flag pole.