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Find the angle of elevation of the sun from the ground, when a tree that is 11yrds tall casts a shadow 10yrds long

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Check the picture below.


tan(\theta )=\cfrac{11}{10}\implies tan^(-1)[tan(\theta )]=tan^(-1)\left( \cfrac{11}{10} \right) \\\\\\ \theta =tan^(-1)\left( \cfrac{11}{10} \right)\implies \theta \approx 47.73^o

Make sure your calculator is in Degree mode.

Find the angle of elevation of the sun from the ground, when a tree that is 11yrds-example-1
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