Question

Work out the length of AC.

Give your answer to 3 significant figures.
A
29 cm
23°
ch
B

Answer 1

AC ≈ 11.3 cm

Explanation:

Using the sine ratio in the right triangle

sin23° =
`(opposite)/(hypotenuse)` =
`(AC)/(AB)` =
`(AC)/(29)` ( multiply both sides by 29 )

29 × sin23° = AC , then

AC ≈ 11.3 cm ( to 3 significant figures )