HELP ME SOLVE THIS ASAP

Mathematics

1 answer:

vampirchik [111]4 years ago

3 0

Answer:

∠B = 60°

a = 4.0 units

b = 6.9 units

Step-by-step explanation:

The triangle is right angled. The sum of all angles of a triangle is equal to 180 degrees.

The 3 angles are 90, 30 , ∠B .

Thus, B = 180 - 120 = 60 degrees

by trigonometry,

sin(30) = $\frac{a}{8}$ = 0.5

a = (8)(0.5) = 4 units

Also,

cos(30) = $\frac{b}{8}$ = 0.866

b = (8)(0.866)= 6.928

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