Question

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

Answer 1

I think it might be 9?

Answer 2

`9^(\circ)`

Explanation:

We have been given a right triangle and we re asked to find the measure of angle N to the nearest whole number.

Since measure of all three sides of the triangle is given, so we can use any of the trigonometric ratios to solve our given problem.

`\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}`

`\text{sin}(N)=(13)/(85)`

Using arcsin we will get,

`N=\text{sin}^(-1)((13)/(85))`

`N=8.797410709991^(\circ)`

Upon rounding our answer to nearest whole degree, we will get

`N\approx 9^(\circ)`

Therefore, the measure of N is 9 degrees.