The hill describes a right triangle with the position of the cable (the base) = 80ft and makes an angle of 19° with the horizontal.
Let the height of the hill be x.
tan 19° = x/80
x = 80 tan 19° = 27.5462
The height of the hill and the pole = 27 + 27.5462 = 54.5462
The required length of the cable is given by sqrt(80^2 + 54.5462^2) = sqrt(6400 + 2975.2889) = sqrt(9375.2889) = 96.83 feet.
Answer:
-94.5
Step-by-step explanation:
7.5 less 102 is equivalent to the negative of 102 less 7.5: -(102 - 7.5) = -94.5.
It is not strictly necessary to reverse the order of the numbers as shown above, but 102 - 7.5 is more famliar (and thus easier to deal with) than
7.5 - 102.
Product means the answer to multiplication problems.
so 7/2 = 3.5 then 3.5/2 = 1.75
(1.75 * 2) = 7/2
Answer:
1.B 2.B 3.A
Step-by-step explanation:
1.(70-24)/2 = 23
2. 295 x 8.95 =2640.25 - 400 = 2240.25 ~ $2000
3. 21hoursx48 weeks x 2years = 2016 hours ~ 2000