Meters is the correct answer
Answer:
<em><u>The answer is 4 </u></em><em><u> </u></em><em><u>because </u></em><em><u>the</u></em><em><u> </u></em><em><u>2</u></em><em><u> </u></em><em><u>over</u></em><em><u> </u></em><em><u>3</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>canceled</u></em><em><u> </u></em><em><u>out</u></em><em><u /></em>
Let the distance of Jill form the base of the tower be x, then tan 40 = 100/x
x = 100/tan 40 = 100/0.8391 = 119.18 meters
Let the height of the tower from the level of the top of Jill's apartment be y, then tan 30 = y/119.18
y = 119.18 x tan 30 = 68.8 meters
Therefore, the height of Jill's apartment is 100 - 68.8 = 31.2 meters