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.
Air traffic controllers continuously monitor the angles of elevation θ and ϕ to an airplane from the airport control tower and from an observation post 4 miles away (see figure). Write an equation giving the distance d between the plane and the observation post in terms of θ and ϕ.
d =
![Airport
control
Observation
tower
post
A
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