Question

The figure shows a right triangle AEB on a rectangle CBED.

The figure shows a rectangle CBED. The diagonal BD of the rectangle is drawn. The length of side CD is 30 centimeters and the measure of angle BCD is 90 degrees and the measure of angle DBE is 60 degrees. There is a right triangle AEB on the side BE of the rectangle. Triangle AEB has the measure of angle AEB equal to 90 degrees and the measure of angle ABE is 45 degrees.

What is the length of side AD?
Answer

36.21 cm

45.32 cm

81.96 cm

94.38 cm

Answer 1

AD = AE + ED
AE = 30*tan(45)
ED = 30*tan(60)