Question

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

Answer 1

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