Respuesta :

carlosego

Answer: 55° (Third option).

Step-by-step 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:

[tex]tan^{-1} (N)=opposite/adjacent\\tan^{-1} (N)=5.74/4\\N=55\°[/tex]

3. Therefore, the answer is the third option.

mixter17

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

[tex]Tan(N)=\frac{Opposite}{Adjacent}[/tex]

[tex]Opposite=5,74\\Adjacent=4[/tex]

[tex]Tan(N)=\frac{5,74}{4}=1,435\\[/tex]

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

[tex]Tan(N)^{-1} =Tan(1,435)^{(-1)}\\N=55,128=55°[/tex]

Have a nice day!

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