Question

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

Answer 1

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.