Question

find the angle of elevation from point c to point a. angle of elevation = ?°

Explanation:

Step1: Use the property of right - angled triangles

In a right - angled triangle \(ABC\) (\(\angle B = 90^{\circ}\)), the sum of the interior angles of a triangle is \(180^{\circ}\). So, \(\angle A+\angle B+\angle C=180^{\circ}\).

Step2: Substitute the known values

We know that \(\angle B = 90^{\circ}\) and \(\angle A=59^{\circ}\). Substituting these values into the equation \(\angle A+\angle B+\angle C = 180^{\circ}\), we get \(59^{\circ}+90^{\circ}+\angle C=180^{\circ}\).

Step3: Solve for \(\angle C\)

First, simplify the left - hand side of the equation: \(149^{\circ}+\angle C=180^{\circ}\). Then, subtract \(149^{\circ}\) from both sides: \(\angle C=180^{\circ}- 149^{\circ}\).

Answer:

\(31^{\circ}\)