Answer:
x = 18.255
Explanation:
- Because this is a right triangle, we can find x using one of the trigonometric ratios.
When the 41° angle is our reference angle:
- the x units side is the opposite side,
- and the 21 units side is the adjacent side.
Thus, we can use the tangent ratio, which is:
tan (θ) = opposite / adjacent.
We can plug in 41 for θ and x for the opposite side:
tan (41) = x / 21
21 * tan(41) = x
18.25502149 = x
18.255 = x
Thus, x is about 18.255 units long.
If you want to round more or less, feel free to (e.g., you may want to round to the nearest whole number, which is 18 or the the nearest tenth, which is 18.3)