Question

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

Answer 1

Answer with Step-by-step explanation:

We are given that:

tanA = 0.45

tanA= $\dfrac{Perpendicular}{Base}$

      =  $\dfrac{BC}{AC}$

⇒  $\dfrac{BC}{AC}$=0.45

⇒  $\dfrac{9}{AC}$=$\dfrac{45}{100}$

⇒  $\dfrac{9}{AC}$=$\dfrac{9}{20}$

⇒  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

Answer 2

Answer: 22 units

Step-by-step explanation: