Question

Solve for the length of BA and BC, round your answer to 1 decimal place

Answer 1

Answer:

$BA = 6.0$

$BC = 13.4$

Step-by-step explanation:

Given

The attached triangle

Solving (a) BA

Considering the tangent of angle C, we have:

$tan\ C = \frac{BA}{AC}$

This gives:

$tan\ 25 = \frac{BA}{12}$

Make BA the subject

$BA = 12 * tan\ 25$

$BA = 12 * 0.4663$

$BA = 6.0$ --- approximated

Solving (a) BC

Using Pythagoras theorem

$BC^2 = BA^2 + AC^2$

$BC^2 = 6.0^2 + 12^2$

$BC^2 = 180$

Square root of both sides

$BC = \sqrt{180$

$BC = 13.4$