Question

Find the length of BC

Answer 1

Explanation:

Hey there!

From the given figure;

Angle CAB = 54°

Side AC = 39

To find: side BC

Taking Angle CAB as reference angle;

Perpendicular (p) = BC = ?

Base (b) = AC = 39

Hypotenuse (h) = AB

Taking the ratio of tan;

`\tan( \alpha ) = (p)/(b)`

Keep value;

`\tan(54) = (bc)/(39)`

Simplify it;

1.376381*39 = BC

Therefore, BC = 53.678.

Hope it helps!

Answer 2

53.68

Explanation:

tan54 = bc/39

bc = 39tan54