Atelegraph pole casts a shadow of 40 feet long when the angle of elevation for the sun is 63°. the pole leans 15° from the vertical, directly toward the sun. find the length of the pole. 37 ft 43 ft 79 ft 171 ft

The formulation of the problem is as shown in the attached photo. The height of the pole is h.

Using the sine rules;
40/Sin 12 = h/Sin 63

h = (40*Sin 63)/(Sin 12) = 171.42 ≈ 171 ft

Therefore, fourth option is the correct answer.

An  atom  (ours, not carroll's) consists of a positively charged  nucleus, surrounded by one or more negatively charged particles called  electrons. the positive charges equal the negative charges, so the atom has no overall charge; it is electrically neutral. most of an atom's mass is in its nucleus; the mass of an electron is only 1/1836 the mass of the lightest nucleus, that of hydrogen. although the nucleus is heavy, it is quite small compared with the overall size of an atom. the radius of a typical atom is around 0.1 to 0.25 nanometres (nm), whereas the radius of a nucleus is about 10-6  nm.  *  if an atom were enlarged to the size of the earth, its nucleus would be only 200 feet in diameter and could easily rest inside a small football stadium.read more on -