Question

en un triangulo rectangulo la hipotenusa es 8.1cm y el lado opuesto del angulo"X" es 6.4cm .CALCULAR X

Answer 1

Answer:

x = 52.2 degrees

Step-by-step explanation:

In this question, we are to

calculate the value of the angle x

Now the first thing to identify is that what we have is a right angled triangle as one of the angles is 90 degrees

This means that we can employ the use of trigonometric identities to calculate whatever we want to calculate.

The question now is which trigonometric identity is the correct one to use

To answer this, we need to be sure of the sides we were given. Looking at the diagram we have one side facing the 90 degrees angle and the other side facing the angle x itself.

The one facing the angle given is the opposite while the one facing the angle 90 is the hypotenuse

So the trigonometric identity to use is the one that links the opposite and the hypotenuse

This is the sine

mathematically;

sine of an angle = length of opposite/length of hypotenuse

In this case

sine x = 6.4/8.1

sine x = 0.7901

Thus;

x = arc sin 0.7901

x = 52.2 degrees