Question

Can someone help me I don't understand

Answer 1

Step-by-step explanation:

Hey there!

From the above right angled triangle ABC;

Taking Angle ABC as reference angle;

Angle ABC = ???

Perpendicular (p) = AC = 15

Base (b) = AB = 47

Now;

Taking ratio of sin;

$\tan( \alpha ) = \frac{p}{b}$

Keep value;

$\tan( \alpha ) = \frac{15}{47}$

Simplify it;

$\tan( \alpha ) = 0.3191489$

Take tan to next side;

Angle ABC (alpha) = tan'(0.3191489)

Therefore, the measure of angle ABC is 17.70°.

Hope it helps!