Question

step two: complete the same process as practiced in step one. then, highlight the two sides that have information provided. once completed, determine which acronym you will utilize to set up your equation. your options are: \soh\, \cah\, and \toa\.
5)
6)
7)
8)

Explanation:

For Problem 5:

Step1: Label sides relative to 64°

• Adjacent (A): known side, Opposite (O): $x$, Hypotenuse (H): unknown

Step2: Match to acronym

We have Adjacent (A) and Opposite (O), so use TOA ($\tan\theta=\frac{O}{A}$)

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For Problem 6:

Step1: Label sides relative to 28°

• Adjacent (A): unknown, Opposite (O): $x$, Hypotenuse (H): known

Step2: Match to acronym

We have Opposite (O) and Hypotenuse (H), so use SOH ($\sin\theta=\frac{O}{H}$)

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For Problem 7:

Step1: Label sides relative to 58°

• Adjacent (A): 16, Opposite (O): $x$, Hypotenuse (H): unknown

Step2: Match to acronym

We have Adjacent (A) and Opposite (O), so use TOA ($\tan\theta=\frac{O}{A}$)

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For Problem 8:

Step1: Label sides relative to 47°

• Adjacent (A): $x$, Opposite (O): 19, Hypotenuse (H): unknown

Step2: Match to acronym

We have Adjacent (A) and Opposite (O), so use TOA ($\tan\theta=\frac{O}{A}$)

Answer:

1. TOA
2. SOH
3. TOA
4. TOA