A hall has a square floor of dimension 10   m × 10   m (see the figure) and vertical walls. If the angle G P H between the diagonals A G and B H is cos - 1 1 5 , then the height of the hall (in meters) is:

Question

A hall has a square floor of dimension 10 &#160; m &#215; 10 &#160; m (see the figure) and vertical walls. If the angle G P H between the diagonals A G and B H is cos - 1 1 5 , then the height of the hall (in meters) is:

Aicharya · Accepted Answer

AG &#8594; = 10 i ^ + h j ^ + 10 k ^ BH &#8594; = - 10 i ^ + h j ^ + 10 k ^ cos &#952; = - 100 + h 2 + 100 200 + h 2 2 1 5 = h 2 200 + h 2 200 = 4 &#160; h 2 h 2 = 50 &#8658; h = 5 2

A hall has a square floor of dimension 10   m × 10   m (see the figure) and vertical walls.…

Solution

A hall has a square floor of dimension 10 &#160; m &#215; 10 &#160; m (see the figure) and vertical walls.…

Solution

A hall has a square floor of dimension 10 m × 10 m (see the figure) and vertical walls.…