Question

A 29 ft long rope is tied to the top of a flag pole. The rope is staked to the ground 21 ft away from the base of the pole. How tall is the flag pole

Answer 1

The height of the pole is 20ft

Explanation:

Let the length of thr flagpole be |AB|.

|AB|=29ft

The distance from the foot of the pole to where the rope is staked, |AC|=21ft

We want to determine the height,|BC| of the pole.

Using Pythagoras theorem,

Hyp²=Opp²+Adj²

29²=|BC|²+21²

|BC|²=29²-21²=841-441=400

|BC|=√400=20ft

Therefore the height of the pole is 20ft.