Question

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

Right triangle A B C is shown. Side B C has a length of 9. Angle C is the right angle.
10 units
13 units
20 units
22 units

Answer 1

22

Explanation:

Answer 2

The correct answer is 10 units.

To solve this problem, you can use the tangent function, which relates the ratio of the opposite side and the adjacent side of a right triangle.

In this case, the opposite side is 9 units, and the tangent of angle A is 0.45.

Thus, the adjacent side (AB) is equal to 9/0.45, which is equal to 10 units.

Explanation:

Identify the given values of the right triangle: the opposite side is 9 units and the tangent of angle A is 0.45.

Use the tangent function to calculate the adjacent side length: adjacent side = opposite side ÷ tangent(angle A)

Substitute the given values into the equation: adjacent side = 9 ÷ 0.45

Solve for the adjacent side length: adjacent side = 10 units Therefore, the approximate length of AB is 10 units.