A searchlight rotates at a rate of 3 revolutions per minute. The beam hits a wall located 14 miles away and produces a dot of light that moves horizontally along the wall. How fast (in miles per hour) is this dot moving when the angle θ between the beam and the line through the searchlight perpendicular to the wall is pi/4? Note that dθ /dt = 3(2pi)=6pi
Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
A searchlight rotates at a rate of 3 revolutions per minute. The beam hits a wall located 14 miles away and produces a dot of light that moves horizontally along the wall. How fast (in miles per hour) is this dot moving when the angle θ between the beam and the line through the searchlight perpendicular to the wall is pi/4? Note that dθ /dt = 3(2pi)=6pi
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