A room is 12m long 9m wide and 8m high Find the... - JAMB Mathematics 2024 Question
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
A
\(\frac{15}{17}\)
B
\(\frac{9}{17}\)
C
\(\frac{8}{15}\)
D
\(\frac{12}{17}\)
correct option: a
The diagonal of the room forms a 3D triangle with the floor. Using the Pythagorean theorem, the length of the diagonal is \(\sqrt{12^2 + 9^2 + 8^2} = 15\). The cosine of the angle with the floor is \(\frac{12}{15} = \frac{4}{5} = \frac{15}{17}\).
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