In a right triangle, the side opposite angle φ has a length of 29.0 meters, the side adjacent to angle φ has a length of 49.5 meters, and the hypotenuse has a length of 57.4 meters. What is the value of cot(φ)?

Respuesta :

We need to find:

[tex]\cot\varphi[/tex]

We have the following configuration:

Also:

[tex]\cot\varphi=\frac{\text{ adjacent leg}}{\text{ opposite leg}}[/tex]

In this problem, we have:

[tex]\begin{gathered} \text{ adjacent leg }=49.5 \\ \\ \text{ opposite leg }=29.0 \end{gathered}[/tex]

Thus, we obtain:

[tex]\cot\varphi=\frac{49.5}{29.0}\cong1.7[/tex]

Therefore, the answer is approximately 1.7.

Ver imagen FynnleeF696398