6.5 + 7.6
8.4 + 5.7
ur welcome
Let the height of the building be x. Let the initial distance of the ant from the building be y, then
tan 32 = x/y
y = x/tan 32 . . . . . . . . (1)
tan 22 = x/(y + 66)
y tan 22 + 66 tan 22 = x
y = (x - 66 tan 22)/tan 22 . . . . . . . . (2)
Equating (1) and (2), we have
x/tan 32 = (x - 66 tan 22)/tan 22
x tan 22 = x tan 32 - 66 tan 22 (tan 32)
x(tan 32 - tan 22) = 66 tan 22 (tan 32)
x = (66 tan 22 (tan 32))/(tan 32 - tan 22) = 66(0.4040)(0.6249)/(0.6249 - 0.4040) = 16.6626/0.2208 = 75.4
Therefore, the height of the building is 75.4 feet.
Let's first write all the factors of 168 and 252.
168 - <span>1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168</span>
252 - 1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
84 is the GCF because 84 is greatest common factor of 168 and 252.
So, 84 is the GCF
Hope this helps.. :)
