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

Answer:

$AC=11\frac{\sqrt{3}}{3}\ units$  or  $AC=6.35\ units$

Step-by-step 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

$tan(30\°)=\frac{AC}{BC}$

$tan(30\°)=\frac{\sqrt{3}}{3}$

so

$\frac{\sqrt{3}}{3}=\frac{AC}{BC}$

$AC=\frac{\sqrt{3}}{3}BC$

substitute the value of BC

$AC=\frac{\sqrt{3}}{3}(11)$

$AC=11\frac{\sqrt{3}}{3}\ units$

$AC=6.35\ units$

Answer 2

Answer:

11sqrt3/3

Step-by-step explanation: