Determine the angle of inclination of the segment if the length of the slope is 10 cm and the length of its projection is 5√3.

The projection of an oblique onto a straight line is equal to the length of the segment, the beginning of which is the point of intersection of the oblique with this straight line, and the end of which is the point of intersection of the perpendicular dropped from the end of the oblique onto this line.

At the intersection of a straight line with an inclined and perpendicular, a rectangular

tr – to ABC. AB – oblique, AB = 10 cm; AC – projection, AC = 5√3 cm;

Angle A is the angle of inclination.

cos A = AC: AB = 5√3: 10 = √3 / 2;

<A = 30 °.