Question

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

Answer 1

Answer: 4.59

sin(35)=x/8

8*sin(35)=x

x=4.59

Answer 2

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

4.59

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:

`\sin 35=(x)/(8)ddd`

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

i.e.

`x=8* \sin 35\\\\i.e.\\\\x=8* 0.5736\\\\i.e.\\\\x=4.588`

which is approximately equal to 4.59 units.