Answer:
1. [tex]x \approx 229.8[/tex]
2. [tex]x \approx 2.6[/tex]
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]
