Yess 5 is the correct answer
Because

and

are inversely proportional, there is some constant

such that

Given that

and

, we have

So when

, you have
Answer:
F=10
Step-by-step explanation:
Add 13.5 and 14 to get 27.5.
2.25f+5=27.5
Subtract 5 from both sides.
2.25f=27.5−5
Subtract 5 from 27.5 to get 22.5.
2.25f=22.5
Divide both sides by 2.25.
f=
2.25
22.5
Expand
2.25
22.5
=10 by multiplying both numerator and the denominator by 100.
f=
225
2250
Divide 2250 by 225 to get 10.
f=10
You know the definitions of the trig functions tell you
.. cos(78°) = (5 ft)/?
.. ? = (5 ft)/cos(78°) ≈ 24.0 ft