Determine the value of x in the diagram. Plz show your work.

Question

asked Jul 27, 2022 192k views

1 Answer

Nuriel · Answer 1 · 2022-07-30T19:15:39+0000

Answer:

D

Explanation:

Using the tangent ratio in the right triangle and the exact value

tan30° =
(√(3) )/(3) , then

tan30° =
(opposite)/(adjacent) =
(x)/(7) =
(√(3) )/(3) ( cross- multiply )

3x = 7
√(3) ( divide both sides by 3 )

x =
(7√(3) )/(3) → D