Question

Study Sheet help?
The figure shows a right triangle AEB on a rectangle CBED. What is the side length of AD?

Answer 1

47.32 cm

94.38 cm

81.96 cm

39.23 cm

Answer 2

jziggy do you know it?

Answer 3

What we're looking for is the line AE + ED
Firstly, we know that side BE is obviously the same length as side CD, 30 cm.

In addition, we know that tan(theta) = Opposite/Adjacent

So, tan(30 degrees) = ED/BE. Since we know BE = 30 we have 30tan(30 degrees) = Side ED which equals Sqrt(3)/3

Next, we have tan(45 degrees) =AE/BE. So, we have 30*tan(45 degrees) = Side AE which equals 30.

Therefore, side AD = 30((sqrt(3)/3 + 1) which is approximately equal to 47.32 cm.

Answer 4

Thank you so much