Question

Given that x = 5.4 m and 0 = 26°, work out BC rounded to 3 SF.

B
O
ou
A
x
С
The diagram is not drawn accurately.
W
BC=
m​

Answer 1

BC ≈ 4.85 m

Explanation:

Using the cosine ratio in the right triangle

cos26° =
`(adjacent)/(hypotenuse)` =
`(BC)/(AC)` =
`(BC)/(5.4)` ( cross- multiply )

5.4 × cos26° = BC , then

BC ≈ 4.85 m ( to 3 s f )