Carla looks from a height of 15 yards at the top of her apartment building. She lines up the top of a flagpole with the curb of a street 30 yards away. If the flagpole is 26 yards from the apartment building, how tall is the flagpole? (G.SRT.5)
- MODULE 3: Investigating Proportionality

Answer

Expert–verified

Hide Steps

Answer

\(\boxed{13}\)

Steps

Step 1 ：Set up a proportion using the properties of similar triangles: \(\frac{AD}{AC} = \frac{AE}{BC}\)

Step 2 ：Plug in the known values and solve for AD: \(\frac{AD}{15} = \frac{26}{30}\) => \(AD = \frac{15 \times 26}{30}\)

Step 3 ：Calculate the value of AD: \(AD = \frac{15 \times 26}{30} = 13\)

Step 4 ：\(\boxed{13}\)