A flag pole casts a shadow of 27 feet , while a boy 5 feet tall casts a shadow of 3 feet find the height of the flag pole
You will have similar triangles, so set up a ratio equation
let h be the height of the pole
x/27 = 5/3
solve for x . I got 45
A flagpole casts a shadow of 20 ft, Nearby, a 10-ft tree casts a shadow of 8 ft. What is the height of the flag pole?
To find the height of the flag pole, we can use ratios and proportions.
Let's denote the height of the flag pole as "x".
According to the given information, the boy's height is 5 feet and his shadow is 3 feet.
The flag pole's shadow is 27 feet.
We can set up the following proportion:
(Height of the flag pole) / (Shadow of the flag pole) = (Boy's height) / (Boy's shadow)
x / 27 = 5 / 3
To solve for x, we can cross-multiply:
3x = 27 * 5
3x = 135
Dividing both sides by 3:
x = 135 / 3
x = 45
Therefore, the height of the flag pole is 45 feet.
To find the height of the flag pole, we can use the concept of similar triangles. Similar triangles have corresponding angles that are equal, and their corresponding sides are proportional.
Let's denote the height of the flag pole as h. According to the information given, the boy's height is 5 feet, and his shadow is 3 feet. We can set up a proportion using the heights and their corresponding shadows:
(height of flag pole) / (shadow of flag pole) = (height of boy) / (shadow of boy)
Substituting the values from the problem gives us:
h / 27 = 5 / 3
Now, we can solve for h by cross-multiplying:
3h = 135
Dividing both sides of the equation by 3:
h = 45
Therefore, the height of the flag pole is 45 feet.