Find the height dropped to the vertices C of triangle ABC if the angle is A = 150 ° and AC = 7cm.

Let’s say the height lowered from the top C – CM.

If the angle BAC = 150 °, then the angle CAM = 180 ° – 150 ° = 30 °.

In a right-angled triangle, the side that lies opposite the 30 ° angle is half the hypotenuse.

In our assignment:

The CMA triangle is rectangular. AC – hypotenuse, which is 7 cm. Height CM – lies against an angle of 30 °. Means:

CM = AC / 2 = 7/2 = 3.5 cm.

Answer: 3.5 cm.