Answer:
Swing two arcs above and below the radius.
Step-by-step explanation:
We want to determine which statement is NOT a step used when constructing an inscribed hexagon?
1. Swing two arcs above and below the radius.
False
2. Draw a radius of the circle using a straightedge. True
3. Place the compass on the point where the circle and radius intersect. True
4. Swing an arc the length of the radius from the point on the circle. True
The first choice is the correct answer.
Answer: option A. 30 °.
Explanation:
1) Draw this triangle: Eyes - Ship A - height of the cliff:
The angle of the vertix where the eyes are is: 90° - depreesion angle = 90° - 60° = 30°.
2) opossite leg = horizontal distance to the ship A = x
3) adjacent leg = height of the cliff = 1500 feet
4) tan(30°) = x / 1500 feet => x = 1500 tan(30°) = 1500 √3 / 3 = 500√3
5) Draw the triangle of the eyes - ship B - hieght of the cliff
6) The unknown is the depression angle of the eyes with ship B, α
7) opposite leg = 500√3 feet + 1000√3 feet = 1500√3 feet
8) adjacent leg = height of the cliff = 1500 feet
9) tan(α) = opposite leg / adjacent leg = 1500√3 / 1500 = √3
10) α = arctan(√3) = 60°
11) Depression angle = 90° - 60° = 30° Which is the answer
The volume of the shaded region is 1650 cubic feet.
Answer:
65.21739130434783
Step-by-step explanation:
