Question

Geometry Solve for x. Round to the nearest tenth, if necessary. Bottom letter is F

Answer 1

Answer:

1. $x \approx 229.8$

2. $x \approx 2.6$

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:

$cos(x) = \frac{adjacent}{hypotenuse}\\cos(72) = \frac{71}{x}\\x = \frac{71}{cos(72)}\\x \approx 229.8$

2. We can use the following trigonometric ratio since we are given the adjacent side and need to find the opposite from the angle:

$tan(x) = \frac{opposite}{adjacent}\\tan(43) = \frac{x}{2.8}\\x = tan(43) \times 2.8\\x \approx 2.6$