PR:PG151 Sat Prep Question

<p>Can someone explain the answer to this question. I am completely stumped as to how they came up with the answer of 8. </p>

<p>A 50 foot wire runs from the roof of a building to the top of a 10 foot pole 14 feet across the street. how much taller would the pole have to be if the street were 16 feet wider and the wire remained the same length? </p>

<p>I worked on it for 10 minutes and couldn't find out how they came up with 8.</p>

<p>I'm guessing everyone no one could figure it out.</p>

<p>The pole is shorter than the building. In the first scenario, after you use the pythagorean theorem, you get that the top of the building is 48 feet higher than the top of the pole. Using the theorem again in the second scenario, you get that this time the top of the building is only 40 feet above the top of the pole, which means that the pole's height was increased 8 feet.</p>