Decide which trigonometric ratio to use. Solve for x in the triangle below.  Round your answer to the hundredths place.
Options
4.59

0.07

6.55

5.60

Decide which trigonometric ratio to use Solve for x in the triangle below Round your answer to the hundredths placeOptions459007655560 class=

Respuesta :

Answer: 4.59

sin(35)=x/8

8*sin(35)=x

x=4.59

Answer:

The value of x in the given triangle round to the nearest hundredths is:

                           4.59

Step-by-step explanation:

From the given triangle we observe that the side x is the opposite side corresponding to angle 35°.

i.e. we will use sine trignometric ratio in the triangle to get the value of x.

We know that:

[tex]\sin 35=\dfrac{x}{8}ddd[/tex]

Since the sine of an angle is the ratio of opposite side to the hypotenuse of the right angled triangle.

i.e.

[tex]x=8\times \sin 35\\\\i.e.\\\\x=8\times 0.5736\\\\i.e.\\\\x=4.588[/tex]

which is approximately equal to 4.59  units.