Key Concepts
Trigonometric ratios can be used to solve for missing side lengths of a right triangle when
one side length and one acute angle is known.
Find the length of side AC to the nearest tenth of a foot.
- sin(369) = 1
18 ft
• (18) sin(36°) = (18)
18) sin(36°) = x
10.5801 = x
The length of side AC is approximately 10.6 feet.
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Afarmer has a large field that is x feet in length. he wants to fence in a rectangular section in the middle of the field , leaving a length of 100 feet of open field behind each end of the fenced rectangle.he also wants the width of the fenced-in space to be 100 feet less than its length. find the expressions to represent the length and width of the fenced section of the field