Question

Michael's dog stands 10 feet from a table, and notices a plate resting on the edge of the table. The height from the ground to the top of the table is 4 feet, and his dog's eyes are 1 foot above the ground. What is the angle of elevation from Michael's dog to the plate? Round your answer to the nearest whole degree.​

Answer 1

The angle of elevation is 17°.

Explanation:

Let's draw the scenario to better understand the problem:

Focusing on the right triangle formed, it appears that we get measures of the two sides of the right triangles.

Opposite Side = 3 Ft.

Adjacent Side = 10 Ft.

To find the angle of elevation, we will be using the Targent Function:

`targent \: 0 = (opposite \: side)/(adjacent \: side) \\ targent \: 0 = (3)/(10) \\ 0 = {targent}^( - 1) ( (3)/(10) ) \\ 0 = 16.69924423399 = 17`

Therefore, the angle of elevation is 17°.