Question

I really need help fast i need it to be correct

Answer 1

XZ ≈ 24.39

Explanation:

Using the tangent ratio in the right triangle

tan16° =
`(opposite)/(adjacent)` =
`(XZ)/(YZ)` =
`(7)/(YZ)` ( multiply both sides by YZ )

YZ × tan16° = 7

YZ × 0.287 = 7 ( divide both sides by 0.287 )

YZ =
`(7)/(0.287)` ≈ 24.39 ( to 2 dec. places )

Answer 2

YZ = 25.40 correct to 1dp

Step-by-Step explanation:

Sin16°= XZ/YZ

YZ=XZ/sin16°

YZ=7/0.276

YZ=25.3623188405797

YZ = 25.40 correct to 1dp