Solve for x. Round to the nearest hundredth if necessary.

Question

Answer 1

tan(29°)=opposite/adjacent=19/x

x=19/tan(29°)

You can finish the calculation and round to the nearest hundredth

Answer 2

To solve for x in this right triangle, we can use trigonometry. Since we have an angle of 29 degrees and the adjacent side length of 19, we can use the tangent function:

tan⁡(29) = opposite / adjacent = x / 19

Rearrange to solve for x:

x = 19⋅tan⁡(29)

Calculating this:

1. Find tan⁡(29∘) ≈ 0.5543
2. Multiply: x= 19 × 0.5543 ≈10.53

Therefore, x ≈ 10.53 (rounded to the nearest hundredth).