Question

A 35 foot wire secured from the top of the flagpole to stake in the ground. If the steak is 14 feet from the face of a flag pole, how tall is the flagpole?

Answer 1

Given that,

The flag pole wire is 35foot

And the length of the foot from the tag flagpole is 14ft

So we want to know the height of the flagpole

So this will form a right angle triangle where the wire is the hypotenuse.

Then, using Pythagoras theorem

c² = a² + b²

35² = 14² + h²

35²-14² = h²

h² =1225-196

h² = 1029

h=√1029

h= 32.09ft

Then, the height of the flag pole is 32.08foot.

Explanation:

Answer 2

Given that,

A wire of 35 foot secured from the top of the flagpole to stake in the ground.

The steak is 14 feet from the face of a flag pole.

To find,

The length of flagpole.

Solution,

Here, 35 foot is the hypotenuse and 14 feet is one of the leg.

Let the length of flagpole is x feet. Using Pythagoras theorem to find it as follows :

`x^2=35^2-14^2\\\\x=32.07\ \text{feet}`

So, the flagpole is 32.07 feet tall.