Question

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

Answer 1

1.
`x \approx 229.8`

2.
`x \approx 2.6`

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) = (adjacent)/(hypotenuse)\\cos(72) = (71)/(x)\\x = (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) = (opposite)/(adjacent)\\tan(43) = (x)/(2.8)\\x = tan(43) * 2.8\\x \approx 2.6`