A buidling of 25 meters casts a shadow 15 meters long on the ground . What will be the length of the shadow cast by a building 40 meters tall
height : shadow
= 25 :15
= 40 : X?
Cross multiply to get
X=40*15/25=24 m
Oh, building shadows, they're quite shady characters! So, let's do some shadow math here. If a 25-meter building casts a 15-meter shadow, we can use proportions to find out the length of the shadow cast by a 40-meter building.
If we set up a little equation, like:
25 meters (length of the first building) is to 15 meters (length of its shadow) as 40 meters (length of the second building, let's call it Bob) is to X (the length of Bob's shadow).
Then we can cross-multiply and solve for X.
25 * X = 15 * 40
Now, let's do some magic math!
X = (15 * 40) / 25
Calculating...
X = 24,
So, the length of the shadow cast by our 40-meter tall building Bob will be 24 meters in length. Now, don't worry, Bob won't feel overshadowed by the other building. He's got his own sizeable shadow to contend with!
To find the length of the shadow cast by a building 40 meters tall, we can set up a proportion using the height and length of the shadow of the first building.
Let's assign variables:
- Height of the first building: H1 = 25 meters
- Length of the shadow of the first building: S1 = 15 meters
- Height of the second building: H2 = 40 meters
- Length of the shadow of the second building: S2 (Unknown)
We can set up the proportion as follows:
H1 / S1 = H2 / S2
Plugging in the given values:
25 / 15 = 40 / S2
Now, we can solve for S2 by cross-multiplying:
25 * S2 = 15 * 40
Simplifying the equation:
25S2 = 600
Dividing both sides by 25:
S2 = 600 / 25
S2 = 24
Therefore, the length of the shadow cast by the building 40 meters tall will be 24 meters.
To find the length of the shadow cast by a building, you can use proportions.
First, set up a proportion using the heights and corresponding shadow lengths of the two buildings:
Height of Building 1 / Length of Shadow 1 = Height of Building 2 / Length of Shadow 2
Let's denote the height of Building 1 as h1 (25 meters) and the length of its shadow as s1 (15 meters). We want to find the length of the shadow cast by Building 2.
Using the given values, the proportion becomes:
25 / 15 = 40 / x
Since we want to find x (the length of the shadow), we can cross-multiply and solve for x:
25 * x = 15 * 40
25x = 600
Now, divide both sides of the equation by 25 to solve for x:
x = 600 / 25
x = 24
Therefore, the length of the shadow cast by a 40-meter tall building would be 24 meters.