From a hot air balloon, the angle between a radio antenna straight below and the base of the library downtown is 63°, as shown b
elow. If the distance between the radio antenna and the library is 24 miles, how many miles high is the balloon?
1 answer:
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1. Consider square ABCD. You know that
then
2. Consider traiangle AED. F is mipoint of AE and G is midpoint of DE, then FG is midline of triangle AED. This means that
3. Consider trapezoid BFGC. Its area is
where h is the height of trapezoid and is equal to half of AB. Thus,
4.
5. Note that angles EGC and CGD are supplementary and
Then
Answer:
A sequence is said to be arithmetic if every couple of adjacent elements differ by the same number. If this is the case, that constant number is called the common difference.
This sequence is arithmetic, because the difference between every element and the previous one is
So, the common differnece is 3.4, because every couple of adjacent terms differ by 3.4