Math  /  Geometry

QuestionThe sun is 2525^{\circ} above the horizon. Find the length of a shadow cast by a building that is 100 feet tall (see figure). (Round your answer to two decimal places.) \square ft

Studdy Solution
Calculate the shadow length using a calculator, rounding to two decimal places:
shadow length=100tan(25)1000.4663214.36 \text{shadow length} = \frac{100}{\tan(25^\circ)} \approx \frac{100}{0.4663} \approx 214.36
The length of the shadow cast by the building is approximately:
214.36 \boxed{214.36} feet

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