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

(not drawn to scale)

Given that x = 7.4 m and θ = 32°, work out bc rounded to 3 sf. (not drawn to scale-example-1
User Nico
by
5.9k points

1 Answer

6 votes

Answer:

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 )

User Marco Piccolino
by
6.6k points
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