Question

A rectangular box has a length of 8 inches, a width of 58 inches, and a height of 33 inches. Find the angle between the diagonal of the box and the diagonal of its base. The angle should be measured in radians

Answer 1

Answer:

0.5 radian

Step-by-step explanation:

Find the diagonal of the base:

a² + b² = c²

8² + 58² = c²

c² = 3428

c = √3428

Find the angle between the diagonal of the box and the diagonal of its base:

tan θ = opp/adj

tan θ = 33/√3428

θ = tan⁻¹ (33/√3428)

θ = 29.4º

Convert to radian:

1º = π/180

29.4º = 29.4π/180

29.4º = 0.5 radian

Answer: 0.5 radian