At a distance of 56 feet from the base of a flag pole, the angle of elevationi to the top of a flag that is 3.1 feet tall is 25.6 degrees. the angle of elevation to the bottom of the flag is 22.9 degrees. the pole extends 1 foot above the flag. find the height of the pole.

Answer 1

Going up from the bottom of the pole, let
A be the base of the pole
B be the bottom of the flag,
C be the top of the flag,
D be the top of the pole
Let E be where the observer is standing.

AE = 56
BC = 3.1
CD = 1

AB/56 = tan 22.9°
AB = 23.65

So, the pole is 23.65+3.1+1 = 27.75

Answer 2

Christine found three pieces of cable in her tool drawer. Here are their lengths (in meters).

What is the total length of the three pieces?