Question

Please answer before 4:00!!: A square-based pyramid has the following properties. Length DC = 12 cm The vertical height = 10 cm Point X is the centre of the square base. Find length AE Give your answer to 2 decimal places. Find the angle AEB Give your answer to 2 decimal places.

Answer 1

The answer for AE will be 13.11

Answer 2

Answer:

Step-by-step explanation:

Usin Pythagorean Theorem:

Find distance  AXC = sqrt (12^2 + 12^2) = 12 sqrt 2

   then AX =  6 sqrt 2

Use Pyhtagorean Theorem again to

    then find AE =     sqrt ( (6sqrt2)^2 + 10^2) = sqrt172 = 2 sqrt (43)

     = 13.11  cm

Find angle  AEB  (see image)

Arctan (6/ (2 sqrt 43) ) = 24.583

  AEB is twice this = 49.17 degrees