Question

Find the value of x. Round to the nearest tenth.

Answer 1

Answer/Step-by-step explanation:

Apply trigonometric bratio formula where applicable, to find the value of x in each case. Recall the acronym, SOHCAHTOA. This will help toe ash determine which ratio formula to use depending on the information given.

4.
`\theta = 33`

Opp = x

Hyp = 14

Therefore, apply SOH. Which is,

`sin(33) = (x)/(14)`

Multiply both sides by 14

`sin(33)*14 = x`

`7.6 = x` (nearest tenth)

5.
`\theta = 29`

Adj = x

Hyp = 14

Therefore, apply CAH. Which is,

`cos(37) = (x)/(14)`

Multiply both sides by 14

`cos(37)*14 = x`

`11.2 = x` (nearest tenth)

6.
`\theta = 29`

Opp = x

Adj = 5.4

Therefore, apply TOA. Which is,

`tan(29) = (x)/(5.4)`

Multiply both sides by 5.4

`tan(29)*5.4 = x`

`3.0 = x` (nearest tenth)

7.
`\theta = 55`

Opp = x

Adj = 33

Therefore, apply TOA. Which is,

`tan(55) = (x)/(33)`

Multiply both sides by 33

`tan(55)*33 = x`

`47.1 = x` (nearest tenth)