Question

Find the length of side AB.

Give your answer to 3 significant figures.
с
410
13.5 cm
A
B

Answer 1

8.87

Explanation:

use the sin law for right triagles sin(θ)= opposite/hypotenuse so

sin(41)=(AB)/13.5

13.5×sin(41)=AB

8.87=AB

Answer 2

AB ≈ 8.86 cm

Explanation:

Using the sine ratio in the right triangle

sin41° =
`(opposite)/(hypotenuse)` =
`(AB)/(BC)` =
`(AB)/(13.5)` ( multiply both sides by 13.5 )

13.5 × sin41° = AB , then

AB ≈ 8,86 cm ( to 3 significant figures )