Answer:
a = 45.14
Step-by-step explanation:
First we need to determine whether this is a non-right triangle or a right triangle.
Since we have two angles already, we can determine whether the third angle is a right or non-right angle:
The sum of all the angles in a triangle will always add up to 180, so we have
180 - (62 + 28) = 180 - 90 = 90
Since we have a right triangle and only one side, we can use trigonometry to find the measure of a.
If we use ∠A as the reference angle, side a is our opposite angle and side c is our adjacent angle.
This means we must use tangent as [tex]tan=\frac{opposite}{adjacent}[/tex]:
[tex]tan (62)=\frac{a}{24}\\ 24*tan(62)=a\\45.137=45.14 = a[/tex]
