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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 |
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Answer» 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 |
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