Question

2. Solve for x. Round to the nearest hundredth if necessary.
Х
19
29°

Answer 1

x ≈ 34.28

Explanation:

Using the tangent ratio in the right triangle

tan29° =
`(opposite)/(adjacent)` =
`(19)/(x)` ( multiply both sides by x )

x × tan29° = 19 ( divide both sides by tan29° )

x =
`(19)/(tan29)` ≈ 34.28 ( to the nearest hundredth )