If the volume of the solid below is 84 cubic inches, what is the height of the solid?
1 answer:
You might be interested in
Answer:
Explanation:
The order of the letters naming the triangles is relevant. When it is said that <em>triangle ABC is similar to triangle MOP</em>, means that:
- ∡A ≅ ∡M
- ∡B ≅ ∡O
- ∡C ≅ ∡P
Therefore:
- ∡A = 45º (given)
- ∡P = 102º (given)
- ∡C = 102º (by substitution)
Now, you have two angles of triangle ABC and can find the third one:
- ∡A + ∡B + ∡C = 180º
- ∡B = 180º - ∡A - ∡B
- ∡B = 180º - 45º - 102º = 33º ← answer