<p>I know that it is considered an easy problem by I can’t visualize it at all. </p>
<li>Kerry has a cordless telephone reciever that can operate within a range of 1000 ft from the telephone’s base. Kerry takes the recievver from the base and walks 800 ft. due north. From that point she walks due east and stops at the maxiumum range of the reciever. In which of the following directions can Kerry walk and still be within the range of the reciever?</li>
</ol>
<p>I. Due North
II. Due South
III. Due West</p>
<p>Thank you</p>
<p><em>600 ft</em>
…_______
…|…/
…|…/
8.|…/
0.|…/
0.|…/1000 ft
ft|…/
…|…/
…|…/
…|./
…|/</p>
<p>You can imagine it as a right triangle. First she moves up 800 ft then right 600 ft (not really necessary to know that, but w/e). The hypotenuse formed is 1000 ft, the maximum range of the receiver. </p>
<p>If she moves North, the triangle’s left leg will be bigger and thus the hypotenuse of the triangle will be more than 1000 ft (so I. Due North is wrong). </p>
<p>If she moves South, the left leg of the triangle will be smaller and thus the hypotenuse will be smaller than 1000 ft, so she will still be in the receiver’s range (II. Due South is correct). </p>
<p>If she moves West, the upper leg of the triangle will be smaller and the hypotenuse will be smaller than 1000 ft, so she will still be in range of the receiver (III. Due West is correct). So if my figuring is correct, the answer should be II. and III.</p>
<p>Yes, its correct and thank you very much for explaining it to me.</p>