Answer:
Step-by-step explanation:
#1.
We can use the following trigonometric ratio since we are given the adjacent side and need to find the hypotenuse from the angle:
[tex]cos(x) = \frac{adjacent}{hypotenuse} \\cos(72) = \frac{71}{x} \\x = \frac{71}{cos(72)} \\x \approx 229.8[/tex]
#2.
We can use the following trigonometric ratio since we are given the adjacent side and need to find the opposite from the angle:
[tex]tan(x) = \frac{opposite}{adjacent}\\tan(43) = \frac{x}{2.8}\\x = tan(43) \times 2.8\\x \approx 2.6[/tex]
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[tex] \\ [/tex]
1. We can use the following trigonometric ratio since we are given the adjacent side and need to find the hypotenuse from the angle:
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex] [tex]\begin{gathered}cos(x) = \frac{adjacent}{hypotenuse} \\cos(72) = \frac{71}{x} \\x = \frac{71}{cos(72)} \\x \approx 229.8\end{gathered}[/tex]
2. We can use the following trigonometric ratio since we are given the adjacent side and need to find the opposite from the angle:
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex] [tex]\begin{gathered}tan(x) = \frac{opposite}{adjacent}\\tan(43) = \frac{x}{2.8}\\x = tan(43) \times 2.8\\x \approx 2.6\end{gathered}[/tex]
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Answers & Comments
Verified answer
Answer:
Step-by-step explanation:
#1.
We can use the following trigonometric ratio since we are given the adjacent side and need to find the hypotenuse from the angle:
[tex]cos(x) = \frac{adjacent}{hypotenuse} \\cos(72) = \frac{71}{x} \\x = \frac{71}{cos(72)} \\x \approx 229.8[/tex]
#2.
We can use the following trigonometric ratio since we are given the adjacent side and need to find the opposite from the angle:
[tex]tan(x) = \frac{opposite}{adjacent}\\tan(43) = \frac{x}{2.8}\\x = tan(43) \times 2.8\\x \approx 2.6[/tex]
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
[tex] \\ [/tex]
EXPLANATION:
1. We can use the following trigonometric ratio since we are given the adjacent side and need to find the hypotenuse from the angle:
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex] [tex]\begin{gathered}cos(x) = \frac{adjacent}{hypotenuse} \\cos(72) = \frac{71}{x} \\x = \frac{71}{cos(72)} \\x \approx 229.8\end{gathered}[/tex]
2. We can use the following trigonometric ratio since we are given the adjacent side and need to find the opposite from the angle:
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex] [tex]\begin{gathered}tan(x) = \frac{opposite}{adjacent}\\tan(43) = \frac{x}{2.8}\\x = tan(43) \times 2.8\\x \approx 2.6\end{gathered}[/tex]