Question

Find x for the shown triangle.

Answer 1

Option (1)

Explanation:

In the given triangle ABC,

By applying tangent rule (tan rule) in the given right triangle,

tan B =
`\frac{\text{Opposite side of the angle}}{\text{Adjacent side of the angle}}`

tan B =
`\frac{\text{AC}}{\text{BC}}`

tan 60° =
`(3)/(x)`

x =
`\frac{3}{\text{tan60}}`

x =
`(3)/(√(3))`

x =
`((√(3))^2)/(√(3))`

x =
`√(3)`

Therefore, measure of the adjacent side AC = √3 unit

Option (1) will be the answer.