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

Question

asked Aug 10, 2019 16.5k views

2 Answers

Marwan Tushyeh · Answer 1 · 2019-08-15T21:15:16+0000

Answer:

$9^(\circ)$

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.