Question

Can someone help me with 1 and 2 questions if you know this

Answer 1

1. B)
`x \approx 12.8`

2. A)
`x \approx 3.9`

Explanation:

1) Apply the trigonometric ratio tangent.

`\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}`

↓ plugging in the given values

`\tan(58\textdegree)=(x)/(8)`

↓ multiplying both sides by 8 to isolate x

`8\tan(58\textdegree) = x`

↓ plugging the left side into a calculator

B)
`x \approx 12.8`

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2) Apply the trigonometric ratio sine.

`\tan(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}`

↓ plugging in the given values

`\sin(34\textdegree) = (x)/(7)`

↓ multiplying both sides by 7 to isolate x

`7\sin(34\textdegree) = x`

↓ plugging the left side into a calculator

A)
`x \approx 3.9`