a 9 foot street sign casts a 12 foot shadow. the lamppost next to it castss a 24 foot shadow. how tall is the lamppost?
noob
9/12 = x/24
Solve for x.
18 feet
wow nearly a decade
To find out the height of the lamppost, we can set up a proportion using similar triangles. The height of the street sign and the height of the lamppost should form a ratio with the length of their respective shadows.
Let's assume the height of the street sign is "x" (in feet) and the height of the lamppost is "y" (in feet). The proportion can be set up as:
x / 12 = y / 24
To solve for y, we can cross-multiply and then divide:
x * 24 = y * 12
Divide both sides of the equation by 12:
2x = y
Now, substitute the value of x with 9 (since the street sign is 9 feet tall):
2 * 9 = y
18 = y
Therefore, the lamppost is 18 feet tall.