a flagpole casts a shadow 3 meters long . a woman near the pole cast shadow 0.75 meters long. the woman is 1.5 meters tall. how tall is the flag pole?
p/3 = 1.5/.75
p = 6
or, by inspection, the woman is twice as tall as her shadow. So is the pole.
To find the height of the flagpole, we can use similar triangles and the concept of proportions.
Let's denote the height of the flagpole as "h" (in meters).
According to the given information, the length of the shadow cast by the flagpole is 3 meters, and the length of the shadow cast by the woman is 0.75 meters. The height of the woman is 1.5 meters.
Using the concept of similar triangles, we can set up the following proportion:
h (height of the flagpole) / 3 (length of the flagpole's shadow) = 1.5 (height of the woman) / 0.75 (length of the woman's shadow)
Now, let's solve for the height of the flagpole (h):
h / 3 = 1.5 / 0.75
Cross-multiplying:
0.75h = 1.5 * 3
0.75h = 4.5
Dividing both sides by 0.75:
h = 4.5 / 0.75
h = 6
Therefore, the height of the flagpole is 6 meters.
To determine the height of the flagpole, we can use the concept of similar triangles. The ratios of corresponding sides of similar triangles are equal.
Let's define a few variables:
- h = height of the flagpole
- s = length of the flagpole's shadow
- w = height of the woman
- c = length of the woman's shadow
From the information given:
s = 3 meters
w = 1.5 meters
c = 0.75 meters
We can set up a proportion using the ratios of corresponding sides:
(h / s) = (w / c)
Substituting the given values:
(h / 3) = (1.5 / 0.75)
To solve for h, multiply both sides of the equation by 3:
h = (1.5 / 0.75) * 3
Simplifying, h = 6 meters.
Therefore, the flagpole is 6 meters tall.
hi
assuming the flag post and the lady cast shadow proportionately
then,
p<height pole>/3<shadow of pole>=<height of woman>1.5/<shadow of woman>0.75
rewritten
p/3=1.5/.75
p=1.5*3/.75
p=4.5/.75
{p=3}
hope this helps