Question

What is the measure of N to the nearest whole degree?

Answer 1

Hello!

The answer is: 55°

Why?

Since i'ts a rectangle triangle (there is at least a 90° angle), we can use the following formula to calculate the measure of N to the nearest whole degree

`Tan(N)=(Opposite)/(Adjacent)`

`Opposite=5,74\\Adjacent=4`

`Tan(N)=(5,74)/(4)=1,435\\`

So, to know the value of N, we have to calculate the inverse of Tan(N) or Arctg:

`Tan(N)^(-1) =Tan(1,435)^((-1))\\N=55,128=55°`

Have a nice day!

Answer 2

Answer: 55° (Third option).

Explanation:

To solve this problem you must apply the proccedure shown below:

1. As you can see in the image attached, the triangle is a right triangle.

2. Therefore, you can calculate the measure of the angle N as following:

`tan^(-1) (N)=opposite/adjacent\\tan^(-1) (N)=5.74/4\\N=55\°`

3. Therefore, the answer is the third option.