Question

In the right triangle below, tanA = 0.45. What is the approximate length of AB?

10 units
13 units
20 units
22 units

Answer 1

Answer: 22 units

Explanation:

Answer 2

Answer with Step-by-step explanation:

We are given that:

tanA = 0.45

tanA=
`(Perpendicular)/(Base)`

=
`(BC)/(AC)`

⇒
`(BC)/(AC)`=0.45

⇒
`(9)/(AC)`=
`(45)/(100)`

⇒
`(9)/(AC)`=
`(9)/(20)`

⇒ AC= 20

Hence, by pythagoras theorem

AB²=AC²+BC²

AB²=20²+9²

AB²=481

⇒ AB=21.9 units

Hence, the approximate length of AB is:

22 units