Answer:
<N = 49°
Step-by-step explanation:
This question isn't geography; it's mathematics.
However, the solution is as follows.
This question is best answered using an attachment (see attachment)
Given that
<P= 90° (This shows that the triangle is right angled)
PN = 86ft
OP = 99ft
Required
Angle <N
From the triangle below, we're to solve for θ
The side opposite θ = 99
The side adjacent θ = 86
In other words,
Opp = 99
Adj = 86.
The relationship between θ, Opp and Adj is tan and this is defined as follows.
Tan θ = Opp/Adj
Substitute 99 for Opp and 86 for Adj
Tan θ = 99/86
Tan θ = 1.1512
Take inverse tan of both sides
θ = arctan(1.1512)
θ = 49.02°
θ = 49° (Approximated)
Hence, the measure of <N is 49°