The angle of elevation from point C to point A is [tex]32^{\circ}[/tex]
Solution:
Given that we have to find the angle of elevation from point C to Point A
Given in figure that, angle A = [tex]58^{\circ}[/tex]
Given is a right angled triangle ABC where angle B = [tex]90^{\circ}[/tex]
We have to find angle C
The angle sum property of a triangle states that the angles of a triangle always add up to 180°
Therefore, in given triangle ABC
angle A + angle B + angle C = 180
[tex]58^{\circ} + 90^{\circ} + C = 180^{\circ}[/tex]
[tex]148^{\circ} + C = 180^{\circ}\\\\C = 180^{\circ} - 148^{\circ}\\\\C = 32^{\circ}[/tex]
Therefore angle C = [tex]32^{\circ}[/tex]
