Contact Style About

ABCDE is a square-based pyramid with vertex E directly above the center of the face ABCD. AB = 5 cm; AE = 7 cm.
a. Determine

By Margaret

ABCDE is a square-based pyramid with vertex E directly above the center of the face ABCD. AB = 5 cm; AE = 7 cm.
a. Determine the angle a between the segment AE and the plane face ABCD. Sketch a diagram.
b. Determine the angle b between the plane face BCE and the plane face ABCD. Sketch a diagram.

About the author
Margaret

ABC is a triangle such that AB =10cm and AC=3cm.the side BC is​


[tex] {x }^{2} + 2x + 21 = 0[/tex]
find the value of x ?​

1 thought on “ABCDE is a square-based pyramid with vertex E directly above the center of the face ABCD. AB = 5 cm; AE = 7 cm.<br /> a. Determine”

  1. Step-by-step explanation:

    Let the midpoint of AC be M and the midpoint of AD be N. Then AC is perpendicular to EM. We can find the length of NE using Pythagoras:

    NE=

    √

    82−1.52

    =

    √

    247

    2

    Now we need to find ∠ENM

    Again, since ENM forms a right angled triangle, ∠ENM=arccos(

    1.5

    √

    247

    2

    )=78.9955…≈79degrees

    I can include a diagram if this is hard to follow.

    Edit: diagram included:

    Reply

Leave a Comment