Question

Solve for x round to the nearest tenth of degree if necessary

Answer 1

x = 1 degree

Explanation:

Using the Pythagorean theorem,
`a^(2) + b^(2) + c^(2)` we can find the unknown side then use SOHCAHTOA to find the unknown angle

First step:

`a^(2) + b^(2) = c^(2) \\45^(2) + 92^(2) = c^(2) \\2025 + 8464 = c^(2) \\10489 = c^(2) \\`

Take the square root of both sides

`√(10489) = \sqrt{c^(2) } \\102.4 = c`

Now to find the angle use SOHCAHTOA

Cosine =
`(Adjacent)/(Hypotenuse)` (The side we found is adjacent)(Hypotenuse is the longest side)

=
`(102.4)/(92)`

= 0.999

Approximately 1 degree.