if a 6 foot man casts an 8 foot shadow what is the height of the building that casts a 72 foot shadow
6/8 = x/72
8x = 432
x = 54 feet
To find the height of the building that casts a 72-foot shadow, you can set up a proportion using the concept of similar triangles:
Let 'x' represent the height of the building.
The proportion is:
Height of the man / Length of the man's shadow = Height of the building / Length of the building's shadow
Using the given information:
6 feet / 8 feet = x / 72 feet
Now, we can cross-multiply and solve for 'x':
6 feet * 72 feet = 8 feet * x
432 feet = 8x
Divide both sides by 8:
432 feet / 8 = x
54 feet = x
Therefore, the height of the building is 54 feet.
To find the height of the building that casts a 72-foot shadow, we can use the concept of similar triangles. Here's how you can solve it:
Step 1: Set up a proportion between the height of the man and the length of his shadow. We know that a 6-foot man casts an 8-foot shadow, so we can write it as:
6 feet / 8 feet = (height of building) / 72 feet
Step 2: Cross-multiply the proportion:
8 feet * (height of building) = 6 feet * 72 feet
Step 3: Simplify the equation:
8(height of building) = 432
Step 4: Divide both sides of the equation by 8:
(height of building) = 432 / 8
Therefore, the height of the building that casts a 72-foot shadow is 54 feet.