Question

N. Students wanted to determine theheight of the flagpole. They measuredits shadow as 27 ft and the shadow of a 6ft tall student as 2 ft. How tall is theflagpole? Use the digit in the ones placeof your answer for N.

Answer 1

Given:

Shadow of flagpole = 27 feet

Height of the tall student = 6 feet

Shadow of the tall student = 2 feet

Required:

the height of the pole

Explanation:

Both the triangles are similar so the ratio of their corresponding sides are equal

$\frac{height\text{ }of\text{ }flagpole}{height\text{ }of\text{ }student}=\frac{shadow\text{ }of\text{ }flagpole}{shadow\text{ }of\text{ }student}$

Substituting the given values we get

$\begin{gathered} \frac{height\text{ }of\text{ }flagpole}{6}=\frac{27}{2} \\ \\ height\text{ }of\text{ }flagpole=\frac{27\times6}{2}=27\times3 \\ \\ height\text{ }of\text{ }flagpole=81\text{ }feet \end{gathered}$

Final answer:

The height of the flagpole is 81 feet.