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A Trigonometric Path into the Land of Regular Pentagons - National ...

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4. A 6.25 m ladder leans against <strong>the</strong> side <strong>of</strong> a house. The angle between <strong>the</strong> ground and <strong>the</strong><br />

ladder is 70°. How far from <strong>the</strong> house is <strong>the</strong> foot <strong>of</strong> <strong>the</strong> ladder?<br />

5. From a location 35 ft from <strong>the</strong> base <strong>of</strong> a tree, <strong>the</strong> angle from <strong>the</strong> ground to <strong>the</strong> top <strong>of</strong> <strong>the</strong><br />

tree is 70°. How tall is <strong>the</strong> tree?<br />

Bonus<br />

6. From <strong>the</strong> top <strong>of</strong> a tree 15m high on <strong>the</strong> shore <strong>of</strong> a pond, <strong>the</strong> angle from <strong>the</strong> top <strong>of</strong> <strong>the</strong> tree<br />

to <strong>the</strong> o<strong>the</strong>r shore is 67°. What is <strong>the</strong> width <strong>of</strong> <strong>the</strong> pond?

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