A room is 12m long, 9m wide and 8m high. Find the cosine ...
A room is 12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room.
1517
917
815
1217
Correct answer is A
Given length of the room = 12m; breadth = 9m and height = 8m.
The room is a cuboid in shape, therefore the length of the diagonal = √l2+b2+h2
= √122+92+82
=√289
= 17m.
The diagonal makes an angle with the diagonal of the floor: √122+92
= √225
= 15m
The cosine of the angle that the diagonal makes with the floor (θ) = 1517.
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