A rectangular box has the dimensions 15"x8"x5" approximate to the nearest tenth of a degree the angle θ formed by a diagonal of the base and the diagonal of the box

Answer 1

Draw and label a diagram. θ is the angle between the diagonal of the base and the diagonal of the box

Diagonal of box is 17, by Pythagoras.

tan θ = 5 / 17

θ ≈ 17.10°

Answer 2

diagonal of base = squre root ((15)^2 +(8)^2) [1]

diagonal of box = square root ( [1]^2 +5^2) [2]

angle: con (angle) = [1] / [2] ------> angle= inverse cos ([1] / [2])

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