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

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

1 Answer

5 votes

Answer:


BA = 6.0


BC = 13.4

Explanation:

Given

The attached triangle

Solving (a) BA

Considering the tangent of angle C, we have:


tan\ C = (BA)/(AC)\\

This gives:


tan\ 25 = (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

User Sasikt
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