Respuesta :

Answer:

Step-by-step explanation:

Do you know SOHCAHTOA

Sin = opposite/hypotenuse

Cosine = adjacent/hypotenuse

Tangent = opposite/adjacent

#1

We have to find cos(x) = adjacent/hypotenuse

[tex]cos(x) = adj/hyp\\=\frac{24}{26} = \frac{12}{13}[/tex]

#2:

We are given an angle of 30 degrees and an opposite side of 15

We need to find the adjacent side, so we can use Tangent

[tex]tan(30) = \frac{15}{adj}[/tex]

[tex]adj = \frac{15}{tan(30)} = 25.98 = 26[/tex]

#3

We are given an angle and an opposite side and we have to solve for hypotenuse.

We can use sin

[tex]sin(43) = \frac{16}{x} \\x = \frac{16}{sin(43)} = 23.46 = 23.5[/tex]

#4:

We are given two sides, we have to find the angle. We are given an opposite side and an adjacent side, so we can use arctangent ([tex]tan^-1(x)[/tex], but not 1/tan(x))

[tex]tan(x) = \frac{36}{19} \\arctan(36/19) = x\\x = 62.1759[/tex]

#5

We are given an opposite side and the hypotenuse, we can use sin

[tex]sin(x) = \frac{19}{28}\\x = arcsin(19/28) = 42.73 = 43[/tex]