Question

Given that x = 7.3 m and θ = 40°, work out AB rounded to 3 SF.

Answer 1

AB ≈ 4.69

Explanation:

using the sine ratio in the right triangle

sinΘ =
`(opposite)/(hypotenuse)` =
`(AB)/(AC)` =
`(AB)/(x)` , then

sin40° =
`(AB)/(7.3)` ( multiply both sides by 7.3 )

7.3 × sin40° = AB , then

AB ≈ 4.69 ( to 3 sf )