Question

Find the value of w to the nearest tenth using the tangent ratio for ZA.

Answer 1

w ≈ 13.8

Explanation:

using the tangent ratio in the right triangle

tan36° =
`(opposite)/(adjacent)` =
`(BC)/(AC)` =
`(10)/(w)` ( multiply both sides by w )

w × tan36° = 10 ( divide both sides by tan36° )

w =
`(10)/(tan36)` ≈ 13.8 ( to the nearest tenth )