Question

In triangle A B C, angle C is a right angle and BC = 11. If lower m angle B equals 30 degrees, find AC.

Answer 1

11sqrt3/3

Explanation:

Answer 2

`AC=11(√(3))/(3)\ units` or
`AC=6.35\ units`

Explanation:

we know that

In the right triangle ABC

AC and BC are the legs of the triangle

AB is the hypotenuse

see the attached figure to better understand the problem

`tan(30\°)=(AC)/(BC)`

`tan(30\°)=(√(3))/(3)`

so

`(√(3))/(3)=(AC)/(BC)`

`AC=(√(3))/(3)BC`

substitute the value of BC

`AC=(√(3))/(3)(11)`

`AC=11(√(3))/(3)\ units`

`AC=6.35\ units`