In which triangle is the measure of the unknown angle, x, equal to the value of sin^-1[5 / 8.3]

Solution:

Consider the 2nd triangle

The sine function can be defined as the ratio of the length of the perpendicular to the length of the hypotenuse in a right-angled triangle.

Mathematically, the sine function formula in terms of sides of a right-angled triangle is written as:

sin x = Opposite Side/Hypotenuse = Perpendicular / Hypotenuse

sin x = 5/ 8.3

So the value of 

sin^-1(5/ 8.3) = 37.042 degrees

Therefore, in the 2nd triangle the measure of the unknown angle, x, equal to the value of sin^-1 [5 / 8.3].

In which triangle is the measure of the unknown angle, x, equal to the value of sin^-1[5 / 8.3]

Summary:

In the 2nd triangle, the measure of the unknown angle, x, equal to the value of sin^-1 [5 / 8.3].