A fence of height H is D feet away from a vertical wall. At what angle θ should a ladder be leaned against the fence in order that the minimum length ladder is required to stretch from the ground to the wall? Attached is my work so far. The first image is the equation I found for ladder length, and the second is that equation derived.
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 fence of height H is D feet away from a vertical wall. At what angle θ should a ladder be leaned against the fence in order that the minimum length ladder is required to stretch from the ground to the wall?
Attached is my work so far.
The first image is the equation I found for ladder length, and the second is that equation derived.
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