Start with plotting the points in the coordinate plane, and then use the inverse tangent to find the measure of the appropriate angle.
m∠ A≈ 51.3^(∘)
Practice makes perfect
Let's begin with plotting the given points in the coordinate plane and connecting them to form △ ABC. Notice that ∠ B is a right angle.
We are asked to find the measure of ∠ A. To do this, we can use the fact that the tangent of an angle is the ratio of the length of the leg opposite to this angle to the length of the leg adjacent to this angle.
tan m∠ A=BC/AB
Notice that we can read the lengths of these sides directly from the graph as they are horizontal and vertical segments.
Let's substitute these values into our equation.
tan A=5/4
Next, we will rewrite this equation using the inverse tangent.
tan A=5/4 ⇓
m∠ A=tan ^(-1)5/4
Now we will solve the above equation.
