The measure of angle A is 17.8
The correct option is (A)
What is angle?
A figure which is formed by two rays or lines that shares a common endpoint is called an angle.
As, perpendicular from B to side AC
In triangle BDC,
its angles are 30°, 60° and 90°
So, the sides ratio be 1 :√3 : 2
Now,
BD : DC : BC = 1 :√3 : 2
= 11√3/2 : 11/2 : 11
Now, using trigonometry
Sin A = P /H
Sin A = BD/AB
=(11/2)/18
= 11/36
= 0.3055
m<A = 17.79 ≈ 17.8°
hence, the measure of A is 17.8°.
Learn more about this concept here:
https://brainly.com/question/15295356
#SPJ1
