Question

Please help i’m so confused!

Answer 1

Answer:
`(3)/(2)`

Explanation:

Tangent of an angle in right angled triangle is defined as the ratio of opposite side to adjacent side.

In triangle
`CAB`,

Given that
`CB=1` and
`AB=2`

tan(
`CAB`)=
`(CB)/(AB)`=
`(1)/(2)`

In triangle
`BAD`,

Given
`AD=3`

tan(
`BAD`)=
`(BD)/(AD)`=
`(BD)/(3)`

Since,angle
`BAD` is same as angle
`CAB`,their tangents are equal.

`(1)/(2)=(BD)/(3)`

So,
`BD=(3)/(2)`