In the right triangle below, tan(A) = 0.45. What is the approximate length of AB?
10 units
13 units
20 units
22 units

Solution:

It is given that

tan A = 0.45

We know that

tan A = perpendicular/ base

tan A = BC/AC

So we can consider

BC/AC = 0.45

9/AC = 45/100

9/AC = 9/20

AC = 20

Using the Pythagoras theorem

AB² = AC² + BC²

AB² = 20² + 9²

AB² = 481

AB = 21.9 = 22 units

Therefore, the approximate length of AB is 22 units.

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In the right triangle below, tan(A) = 0.45. What is the approximate length of AB?

Summary:

In the right triangle below, tan(A) = 0.45. The approximate length of AB is 22 units.