Question

Please help me!!
Find the measure of x.
Round your answer to the nearest hundredth.

Answer 1

x=3.42

Explanation:

`\sin(20) = (x)/(10)`

`x = 10 \sin(20) = 3.42`

Answer 2

x = 3.420 (to the nearest hundredth)

Explanation:

Trig ratios:

sin(x) = O/H

cos(x) = A/H

tan(x) = O/A

where x is the angle, O = side opposite the angle, A = side adjacent to the angle, H = hypotenuse

We have been given:

angle = 20°

opposite side to angle = x

hypotenuse = 10

Therefore, we should use sin(x) = O/H

Substituting the above values into the trig ratio:

⇒ sin(20) = x/10

⇒ x = 10 sin(20)

⇒ x = 3.420 (to the nearest hundredth)