Question

Given that x = 7.4 m and θ = 32°, work out bc rounded to 3 sf.

(not drawn to scale)

Answer 1

BC ≈ 11.8 m

Explanation:

using the tangent ratio in the right triangle

tanΘ =
`(opposite)/(adjacent)` =
`(AB)/(BC)` =
`(x)/(BC)` , that is

tan32° =
`(7.4)/(BC)` ( multiply both sides by BC )

BC × tan32° = 7.4 ( divide both sides by tan32° )

BC =
`(7.4)/(tan32)` ≈ 11.8 m ( to 3 sf )