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Sedaia [141]
3 years ago
14

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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