Respuesta :

jcherry99

Answer:

5.634

Step-by-step explanation:

First, you have to decide which one of the 6 trig functions you are going to use. Your calculator only gives 3 values (Sin,Cos,Tan) but the other three are easily figured out.

Each trig function has 3 variables, 2 of the three sides and 1 angle.

In this case, you want to adjacent side, and are given the hypotenuse. and the enclosed angle. That limits your choice to the cosine.

Cos(62) = adjacent / hypotenuse.

Cos 62 = 0.4695

hypotenuse = 12

0.4695 = adjacent / 12    Multiply both sides by 12

0.4695 * 12 = 12* adjacent/12

adjacent = 5.634

KONSETON

Answer:

This is right-angled trianle , so we will use trigonometry first.

[tex]sin(62^{\circ}) \approx 0,88[/tex]

Let AC=x , x>0

Then :

[tex]0,88=\frac{x}{12}[/tex]

[tex]0,88 \cdot 12=x[/tex]

[tex]x=10,56[/tex] cm

Now we obtain length of AB using Pytagoras' theorem :

Let AB=y

[tex](10,56)^{2}+y^{2} =12^{2}[/tex] , y>0

[tex]\frac{69696}{625}+y^{2}  =144[/tex]

[tex]x=144-\frac{69696}{625} =\frac{20304}{625}=32,48[/tex] cm