<span> For this case we have a rectangle triangle where we know:
hypotenuse of the triangle.
Angle between the base of the triangle and the hypotenuse.
We want to find the height of the triangle.
For this, we use the following trigonometric relationship:
</span>

<span> From here, we clear the value of x.
We have then:
</span>

<span>
Answer: The inclined height of the pyramid is given by: x = 6.93 m</span>
Answer:
2.12 ft above ground level
Step-by-step explanation:
Volume of the cylindrical tank is 36*π
Tank is filled to half its capacity, that means tank is filled 18*π, and level of water is 4 feet, then the height of the cylinder is 8 feet
With the above information we can calculate the radius of the base of the cylinder, according to
V = 36*π = π*r²*h ⇒ 36 = r²*h ⇒ 36/8 = r² ⇒ r = 2.12 ft
Then the radius of the base is 2.12 ft
When the cylindrical tank is place on its side, the level of water inside have to be 2.12 ft above ground level. That is the level of half its capacity
Answer:
16 servings
Step-by-step explanation:
20 ÷ 1.25 = 16
A set of points is collinear if the points lie on the same straight line.
From the given figure,
A) Z, J, and C are not collinear
B) H, B, and C are collinear
C) H, B, and K are not collinear
D) Z, K, and R are collinear
Answer: B and D