Question

a child lies on the ground and looks up at the top of a 14-ft tree nearby. the child is 7 ft away from the tree. what is the angle if elevation from the child to the top of th tree? round to the nearest whole degree.

Answer 1

63°

Explanation:

From the diagram, the angle of elevation from the child to the top of the tree can be calculated using the tangent ratio.

Recall SOH-CAH-TOA from your Trigonometry class.

The tangent is opposite over adjacent.

`\tan(A) = (14)/(7)`

`A = \tan^( - 1) ( 2)`

`A = 63.43 \degree`

The angle of elevation is 63° to the nearest degree.