at 5 p.m., a person 5 feet tall casts a 10-foot shadow. at the same time, a flagpole casts a 40-foot shadow?
Use a proportion. Cross multiply and solve for x.
5/10 - x/40
at 5 p.m., a person 5 feet tall casts a 10-foot shadow. at the same time, a flagpole casts a 40-foot shadow. what is the height of the triangle?
20 foot
To find the height of the flagpole, we can set up a proportion using the given information.
Let's call the height of the flagpole "x" (in feet). According to the information provided:
Height of the person: 5 feet
Length of the person's shadow: 10 feet
Length of the flagpole's shadow: 40 feet
We can set up the proportion:
(person's height) / (person's shadow length) = (flagpole's height) / (flagpole's shadow length)
Or in equation form:
5 / 10 = x / 40
To solve for "x," we can cross-multiply:
5 * 40 = 10 * x
200 = 10x
Divide both sides by 10:
200/10 = x
20 = x
Therefore, the height of the flagpole is 20 feet.