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PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!

Find BD.

Write your answer as an integer or as a decimal rounded to the nearest tenth.

BD =

PLEASE HELP ASAP I NEED CORRECT ANSWERS ONLY PLEASE Find BD Write your answer as an integer or as a decimal rounded to the nearest tenth BD class=

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Answer:

Step-by-step explanation:

Right triangle trig.  Super fun!  We are given the vertex angle of 27 degrees.  The side across from that angle is 4, and we are looking for the hypotenuse of the triangle.  That is the trig ratio sin.  sin of an angle is equal to the side opposite over the hypotenuse:

[tex]sin(27)=\frac{4}{hyp}[/tex] and, solving for hyp:

[tex]hyp=\frac{4}{sin(27)}[/tex].  Do that on your calculator in degree mode to get that the hypotenuse, side BD is 8.8 units.