The angle of elevation from point C to point A is
![32^(\circ)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/6u2mrp1j3cklkqorugzrakpik20syy1n19.png)
Solution:
Given that we have to find the angle of elevation from point C to Point A
Given in figure that, angle A =
![58^(\circ)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/cdlxhnrboz3afxjdunfltpp93y0w9e988y.png)
Given is a right angled triangle ABC where angle B =
![90^(\circ)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ntrqz6w7bao69edtzty4kzyr8hdiylowi7.png)
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
![58^(\circ) + 90^(\circ) + C = 180^(\circ)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/vcfvfcnpa1no5tia460fd3xn295dg96qcb.png)
![148^(\circ) + C = 180^(\circ)\\\\C = 180^(\circ) - 148^(\circ)\\\\C = 32^(\circ)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/59mihy2vejgo5vrmab3pmppjgo1ja54slj.png)
Therefore angle C =
![32^(\circ)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/6u2mrp1j3cklkqorugzrakpik20syy1n19.png)