Right triangle LMN is drawn on paper. The right angle is located at vertex L with side length MN as the hypotenuse. The side length measurements are LM=8 units , MN=10 units , and NL=6 units . What is the approximate angle measure at vertex N ?

Question

37°
37°

53°
53°

39°
39°

31°

Answer 1

To find the angle measure at vertex N in a right triangle, we can use the trigonometric function sine.

In this case, we can use the sine function as sine(N) = LM/MN.

Plugging in the values given, we get sine(N) = 8/10 = 0.8.

To find the angle measure N, we can take the inverse sine of 0.8.

Using a calculator, we find that the inverse sine of 0.8 is approximately 53.13°.

Therefore, the approximate angle measure at vertex N is 53°.

So the correct answer is 53°.