Let
point
A----------------- > Bob
point
B----------------- > lamppost that is to Bob left
point
C----------------- > lamppost that is to Bob right
we know that
dAB=25 ft
dAC=30 ft
dBC=20 ft
see the attached
figure
we use the law of
cosines------------- > dBC²=dAB² +dAC² -2(dAB)(dAC)cos(alfa)
we have that
20²=25² +30² -2(25)(30)cos(alfa)--------
> cos (alfa)=(20²-(25² +30²))/(-2*25*30)
cos (alfa)=(400-(625 +900))/(-1500)= (400-(625 +900))/(-1500)=1125/1500=0.75
<span>alfa=arccos (0.75)= 41.4096 -------- > 41 °--------
> </span>∡ BAC
the answer
is 41 °
The answer is going to be B
Let the rational number be.
If we divide this rational number by a factor k, then it becomes .
We need to find 'k'.
Now, twice the opposite of the given rational number is
By the given information,
xy = -2kxy
-2k = 1
Hence, we should divide the given rational number by .
There is a 10 square feet difference between both decks.