Question

HELP ME SOLVE THIS ASAP

Answer 1

∠B = 60°

a = 4.0 units

b = 6.9 units

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 .

`90+30+B = 180`

Thus, B = 180 - 120 = 60 degrees

by trigonometry,

sin(30) =
`(a)/(8)` = 0.5

a = (8)(0.5) = 4 units

Also,

cos(30) =
`(b)/(8)` = 0.866

b = (8)(0.866)= 6.928