3 years ago

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

Mathematics

2 answers:

kodGreya [7K]3 years ago

7 0

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

alexdok [17]3 years ago

3 0

Answer: 22 units

Step-by-step explanation:

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