Question

Help please- I hate geometry

Answer 1

To the nearest hundredth, x = 3.42 cm

Explanation:

We have to solve for x,

We can use SOHCAHTOA

Since x is the opposite side, we use SOH

we know the hypotenuse h = 10 cm

and the angle is 20 degrees

so using SOH, we write,

sin(20) = opposite/hypotenuse

sin(20) = x/10

x = 10(sin(20))

x = 3.4202

To the nearest hundredth, we get,

x = 3.42 cm

Answer 2

x ≈ 3.42

Explanation:

using the sine ratio in the right triangle

sin20° =
`(opposite)/(hypotenuse)` =
`(x)/(10)` ( multiply both sides by 10 )

10 × sin20° = x , then

x ≈ 3.42 ( to the nearest hundredth )