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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

PLEASE HELP AS SOON AS POSSIBLE Use ABC in which mA46 mB41 and AC6 to answer the question Triangle ABC marked with the given information What is the length of B class=
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Answer:

The length of BC is 6.2131 units

Step-by-step 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,

[tex]TanA=\frac{BC}{AC}[/tex]

[tex]Tan46=\frac{BC}{6}[/tex]

BC=6Tan46

BC=6.2131 units

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