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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.​

Sagot :

Answer:

The angle of elevation is 17°.

Step-by-step 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:

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

Therefore, the angle of elevation is 17°.

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