Answer:
(a)
9.11
(b)
70.8
Explanation:
(a)
We can find AG by finding AC and CG, then using the Pythagorean Theorem. To find AC, awe can create triangle ABC, using the Pythagorean Theorem to find AC=√(5²+7²)≈8.602. Since this is a cuboid, CG=AE=3, as the height is constant. Therefore, √(AC²+3²)=AG=9.11, rounded to 3 significant figures.
(b)
To find this, we can create triangle AGC, finding angle G. This is because CG is directly on the plane, and this is the angle that goes right next to that line. Therefore, cos(G)=3/9.11, and G=arccos(3/9.11)=around 70.8