Question

1 B 0 A C If the distance from point A to point C is 7.5 units and O=40°, find the distance from point A to point B to the nearest tenth. (1 Point) a. 8.9 b. 4.7 C. 6.3 d. 2.5

Answer 1

Option C is correct.

AB = 6.3 units

Step-by-step explanation

In a right angle triangle, the side opposite the right angle is the Hypotenuse, the side opposite the given angle that is non-right angle is the Opposite and the remaining side is the Adjacent.

Using trignometric relations, we can see that TOA wil work for this

Tan θ = (Opp/Adj)

θ = 40°

Opp = AB = ?

Adj = AC = 7.5 units

Tan 40° = (Opp/7.5)

Opp = AB = 7.5 (Tan 40°) = 6.3 units

Hope this Helps!!!