Assuming it is a right circular cone, here's the equation for the volume and two ways to think about it. For the cone, you have the height, radius, and slant height. pi r^2 is the area of a circle, …

## Angles of Elevation & Shadows

If you have the angle of elevation from the sun (or another light source) and you have the height of a person, you can calculate the length of their shadow. There are two similar triangles, the …

## How are Decibels Measured?

You would need a device to measure the intensity of the sound. Intensity is the power divided by area, it's similar conceptually to pressure. Once you have the intensity, you would use an …

## Car on Five Degree Incline with Friction, Energy Conversion

We started by looking at a problem with a car at the top of a five degree incline that rolled for 60 m. The force due to friction was given and the problem was to determine the velocity at the bottom …

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## Why the Tangent Function Can be Greater Than 1, But the Sine and Cosine Functions Cannot

Regardless of the angle for which you evaluate tangent, cosine, or sine, you can always think of it as the ratio of two sides of a right triangle. See the orange angle (quadrant 1), green angle …

## How Does the Equation for Arc Length Work?

I would suggest thinking about how it works visually/graphically. It should make sense that way. The formula stands for the arc length being equal to the radius multiplied by the angle (in …

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