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kati45 [8]
3 years ago
6

) a rectangular box has length 12 inches, width 20 inches, and a height of 7 inches. find the angle between the diagonal of the

box and the diagonal of its base. the angle should be measured in radians.
Mathematics
1 answer:
nlexa [21]3 years ago
7 0

We assume the base is 12 in × 20 in, so its diagonal has length

... √(12² +20²) = √(144 +400) = √544 = 4√34 . . . inches

Then the tangent of the angle of interest is the ratio of the box height to the base diagonal:

... tan(α) = (7 in)/(4√34 in) ≈ 0.300123

The angle will be the arctangent of this value,

... α = arctan(7/√544) ≈ 0.291569 radians

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