Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Start Practicing

Worksheet: Angle between Two Planes

Q1:

In the figure, suppose that 𝐴 𝐡 = 2 8 , 𝐡 𝐷 βŸ‚ 𝐡 𝐴 𝐢 p l a n e , and 𝐷 𝐸 βŸ‚ 𝐴 𝐢 . Find the length of 𝐷 𝐸 .

  • A 7 √ 6 5
  • B25.24
  • C √ 2 1
  • D 7 √ 5

Q2:

In triangle 𝐴 𝐡 𝐢 , π‘š ∠ 𝐴 = 6 0 ∘ and 𝐴 𝐡 = 2 4 . 𝐡 𝐷 is a normal to the plane 𝐴 𝐡 𝐢 , and 𝑂 the foot of the perpendicular from 𝐷 to 𝐴 𝐢 . If 𝐷 𝑂 = 7 2 , determine the length of 𝐡 𝐷 .

  • A 1 2 √ 3 5
  • B 1 2 √ 3 9
  • C 4 8 √ 2
  • D 1 2 √ 3 3

Q3:

Find, to the nearest second, the size of the angle between the planes and .

  • A
  • B
  • C
  • D

Q4:

Find, to the nearest second, the size of the angle between the planes and .

  • A
  • B
  • C
  • D