Question

How do we do this? plzzz helppp​

Answer 1

AB = 5.6 cm

Explanation:

To find the length of side AB, which is one of the sides of right angled triangle ABC given above, we would apply the trigonometric ratio formula.

The given angle (θ) = 62°

Length of hypotenuse = BC = 12 cm

Length of adjacent side = AB = ?

We would use the following trigonometric ratio formula:

Cos(θ) = adjacent/hypotenuse

`cos(62) = (AB)/(12)`

Multiply both sides by 12 to make AB the subject of formula

`cos(62)*12 = (AB)/(12)*12`

`cos(62)*12 = AB`

`0.4695*12 = AB`

`0.4695*12 = AB`

`5.634 = AB`

Length of side AB = 5.6 cm (approximated to 1 decimal place)