Cuboid

Find the dimensions of cuboid a, b, c; if diagonal d=9 dm has an angle with edge α=55° and has an angle with edge b β=58°

Correct answer:

a =  5.16 dm
b =  3.91 dm
c =  6.25 dm

Step-by-step explanation:

$a=9\cdot cos(55^{\circ })=5.16\text{ dm}$

$b=9\cdot sin(55^{\circ })\cdot cos(58^{\circ })=3.91\text{ dm}$

$c=9\cdot sin(55^{\circ })\cdot sin(58^{\circ })=6.25\text{ dm}$

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