On level ground, a 60-foot-tall vertical building casts a 10-foot shadow. at the same time, another vertical building casts a 25-foot shadow. how many feet tall is the second building?
My response to the first question is 150.
25/x = 9/6 (where 25 is the tree's shadow, x is the unknown height of the tree, 9 is the man's shadow and 6 is the man's height)
solve for x
cross multiply 25(6) = (9)x
150 = 9x
x = 150/9
do the division
x = 16.6
the tree is 16.6 feet or about 17 feet tall
Can you show how u got the 150
To find the height of the second building, we can set up a proportion using the information given.
Let's label the height of the second building as 'x'. We know that the height of the first building is 60 feet and its shadow is 10 feet. Similarly, the shadow of the second building is 25 feet.
We can set up the proportion as follows:
(height of first building)/(shadow of first building) = (height of second building)/(shadow of second building)
Substituting the given values:
(60 feet)/(10 feet) = x/(25 feet)
To solve for 'x', we can cross-multiply:
60 feet * 25 feet = 10 feet * x
1500 feet^2 = 10 feet * x
Now, divide both sides of the equation by 10 feet to isolate 'x':
1500 feet^2 / 10 feet = x
150 feet = x
Therefore, the second building is 150 feet tall.