Answer:
a) 24
b) 10
c) 12/13
d) 5/13
e) 12/5
Step-by-step explanation:
a) We can see that the leg opposite <C is AB, and we are given AB = 24
b) We can see the leg adjacent to <C is AC, and we are given that AC = 10
c) The trig function sine is equal to
[tex]\frac{opposite}{hypotenuse}[/tex]
The opposite, AB, is 24, and the hypotenuse, BC, is 26. We can plug those numbers in:
[tex]sin(c) = \frac{24}{26} = \frac{12}{13}[/tex]
d)The trig function cosine is equal to
[tex]\frac{adjacent}{hypotenuse}[/tex]
The adjacent, AC, is 10, and the hypotenuse, BC, is 26. We can plug those numbers in:
[tex]cos(c) = \frac{10}{26} = \frac{5}{13}[/tex]
d)The trig function tangent is equal to
[tex]\frac{opposite}{adjacent}[/tex]
The opposite, AB, is 24, and the adjacent, AC, is 10. We can plug those numbers in:
[tex]tan(c) = \frac{24}{10} = \frac{12}{5}[/tex]
