In ΔNOP, the measure of ∠P=90°, OP = 99 feet, and PN = 86 feet. Find the measure of ∠N to the nearest degree.

<N = 49°

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°

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