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Trigonometry
Question

$$10$$ foot ladder is leaning against a building. The ladder makes a $$45$$ degree angle with the building. How far up the building does the ladder reach?

A. $$5 \sqrt { 2 }$$ feet

B. $$20 \sqrt { 2 }$$ feet

C. $$10 \sqrt { 2 }$$ feet

D. $$5$$ feet

10×sin45$$°$$=$$5\sqrt{2}$$ feet