A 35 foot wire is secured from the top of a flagpole to a stake in the ground. If the stake is 14 ft from the base of the flagpole, how tall is the flagpole?

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mysc
The answer is 32.07. Rounded to the nearest tenth is 32.1

Answer:

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.

Step-by-step explanation: