Answer:
8463 feets
Step-by-step explanation:
Using the diagram attached :
Distance of control tower to plane = d
Using tro:
Tan θ = opposite / Adjacent
Tan 28 = 4500 / d
0.5317094 = 4500 / d
0.5317094d = 4500
d = 4500 / 0.5317094
d = 8463.2690
This is a problem of guess and check; there's no easier way to do it.But in this case you must have an odd number of nickels to make the 5 cents, so your answer is 9 nickels.you can check this by multiplying each one by .05:
9*.05=.45
the rest of the coins left, are 8 of them, and their dimes.
.10*8=.80
.80+.45= 1.25
X / 96.6 = (80.5 - 35) / 80.5 ( because the small and large triangles are similar, because of the parallel lines)
x / 96.6 = 45.5 / 80.5
x = 96.6 * 45.5 / 80.5 = 54.6 m (answer)