Question

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

(not drawn accurately.)

Answer 1

BC ≈ 11.8 m

Explanation:

using the tangent ratio in the right triangle

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

tan32° =
`(x)/(BC)` =
`(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 )