Question

A rocket travels 80 km vertically upward at a 90° angle from point A to point B. It then moves a distance of 80 km along the line segment BC, as shown below.

ABCD is a trapezoid with AB equal to 80 kilometers and BC equal to 80 kilometers. A perpendicular to line CD is shown with a dashed line. This perpendicular passes through point B. The measure of the angle between BC and the perpendicular is 30 degrees.

What is the height of the rocket, at point C, from the ground?
Answer

70 km

80 km

100 km

120 km

Answer 1

80 + 80sin 30 = 80 + 40 =120