Answer
The person is 686.95 feet from the landing pad.
Step-by-step explanation
We need to first sketch the picture for this scenario described
Let the distance from the landing pad to the individual observing be x
In a right-angle triangle, the side opposite the right angle is the Hypotenuse, the side opposite the given angle that is non-right angle is the Opposite and the remaining side is the Adjacent.
So, after noting the three sides in a right triangle, we will then use trignometric ratios to solve for any of the unknown. If the non-right-angle angle given is θ, the trignometric ratios in short forms are written as
SOH, CAH and TOA
SOH means Sin θ = (Opp/Hyp)
CAH means Cos θ = (Adj/Hyp)
TOA means Tan θ = (Opp/Adj)
So, the one to be used depends on the sides of the triangle that are provided.
For this question,
Hypotenuse = ?
Opposite = 350 feet
Adjacent = x
Angle = θ = 27°
TOA means Tan θ = (Opp/Adj)
Tan 27° = (350/x)
Cross multiply
x = 350/(Tan 27°)
x = 350/(0.5095)
x = 686.95 feet
Hope this Helps!!!