A pole that is 3.4 m tall cast a shadow that 1.73 m long. At the same time , a nearby tower cast a shadow that is 48.25 m long. How tall is the tower?
I can't seem to figure out what to do
Use a proportion.
http://www.mathsisfun.com/algebra/proportions.html
3.4/1.73 x/48.25
0.40
height/shadow = 3.4/1.73 = h/48.25
so
h = (3.4/1.73)48.25
which is 3.4 * 48.25/1.73
or
94.8
Draw a picture !!!!
To solve this problem, you can use a proportion. The length of the pole's shadow is related to the height of the pole, and the length of the tower's shadow is related to the height of the tower.
Let's set up the proportion:
(height of the pole)/(length of the pole's shadow) = (height of the tower)/(length of the tower's shadow)
Substituting the given values:
(h)/(1.73) = (height of the tower)/(48.25)
To find the height of the tower, we can cross-multiply and solve for (height of the tower):
h * 48.25 = 1.73 * (height of the tower)
Now, divide both sides of the equation by 48.25 to solve for (height of the tower):
(height of the tower) = (1.73 * (height of the tower))/48.25
Simplifying the equation:
(height of the tower) = (1.73 * (height of the tower))/48.25
Next, isolate (height of the tower) by multiplying both sides of the equation by 48.25:
48.25 * (height of the tower) = 1.73 * (height of the tower)
The height of the tower cancels out on the right side of the equation, leaving us with:
48.25 = 1.73
Finally, divide both sides of the equation by 1.73 to solve for (height of the tower):
(height of the tower) = 48.25 / 1.73
Calculating this value will give us the height of the tower.