Since Ryan is 5 feet tall, we will assume that the height of the cell-phone tower is x + 5.
Since the given is 54 degrees.
Tan 54degrees = x/80(feet)
x=80(tan54)
x=110
To finalize the answer, we will add up the height of the cell-phone tower to the answer.
110 + 5 = 115 feet
So the answer to the question is that the height of the cell-phone tower is 115 ft.
The 2 angles are complemantary or form right angles so

so

. Plugging that into BDC we get 11
Well we would need to see some type of graph in order to help you find the slope.
Cot x= cosx/sinx =√3
tan x= 1/ √3
cos x = √2 /2
x= 45
tan45= 1
tan x= -4/3
csc x= 13/5
1/sin x = 13/5
sin x= 5/13
x=22.62
tan x= 5/12