We are tasked to solved for the length of the ramp having an inclination of 15 degrees with the ground and 10 feet from the end of the ramp to the base of the building of the ground. Using trigonometric properties, we have a formula given an angle and the its opposite sides which is,
sin(Angle)=opposite/hypothenuse
hypothenuse would be the distance or the length of the ramp.
so we have,
sin(15)=10/hypothenuse
Cross-multiply, we have,
hypothenuse=10/sin(15)
using scientific calculator having a DEG mode,
hypothenuse=38.63703
Rounding of in nearest tenth we get,
hypothenuse=38.6 ft
Therefore, the ramp is 38.6 ft long
Answer:
1.She used square units instead of cubic units.
2.In calculating the volume of the pyramid, she did not multiply by 1/3.
4.She subtracted the pyramid volume instead of adding it.
Step-by-step explanation:
because i got it right on my test.
The first thing we are going to assume for this case is that the tree and the post are located in the same place.
From that place, both cast a shadow in the same direction.
We then have two similar triangles.
Therefore, we have the following relationship:

From here, we clear the value of x.
We have then:

Rewriting:
Answer:
the tree is 30 feet tall
Answer:
<em>5,598 cans are required to empty the vessel</em>
Step-by-step explanation:
The volume of a cylinder of radius r and height h is:

The volume of a box of dimensions X, Y, and Z is:
V=X.Y.Z
A cylinder of r=1.4 m and height h=1.5 is used to store vegetable ghee. It contains a volume of:


Converting to cubic cm:


The volume of each rectangular tin can is:


The number of cans required to empty the vessel is:

5,598 cans are required to empty the vessel