Question

PLEASE HELP AS SOON AS POSSIBLE

Use △ABC, in which m∠A=46°, m∠B=41°, and AC=6, to answer the question.

Triangle ABC marked with the given information.



What is the length of BC?

BC≈ __________ units

Enter your answer as the correct number, rounded to the nearest tenth, like this: 42.5

Answer 1

The length of BC is 6.2131 units

Explanation:

In given triangle ABC,

Angle A=46

Angle B=41

Side AC=6

From a property of the triangle,

Angle A+Angle B+Angle C=180

46+41+Angle C=180

Angle C =90

Therefore, the triangle ABC is right angle triangle.

From basic of trigonometry,

`TanA=(BC)/(AC)`

`Tan46=(BC)/(6)`

BC=6Tan46

BC=6.2131 units