Question

PLEASEEEEE HELPPP
I need help for numbers 22, 24, 26, 28, 30, 32, 34, 36

Answer 1

22.
`(b)/(c)`

24.
`(√(17) )/(17)`

26.
`\frac14`

28.
`(√(17) )/(17)`

30.
`\frac12`

32.
`(√(2) )/(2)`

34.
`(√(3) )/(2)`

36. AC = 5.41 (nearest hundredth)

Explanation:

Using trig ratios:

`sin(\theta)=(O)/(H)\\\\\\cos(\theta)=(A)/(H)\\\\\\tan(\theta)=(O)/(A)`

where
`\theta` is the angle, O is the side opposite the angle, A is the side adjacent the angle, H is the hypotenuse of a right angle

22.
`cos(x)=(b)/(c)`

24.
`sin(x)=(2)/(2√(17) )=(√(17) )/(17)`

26.
`tan(x)=(2)/(8)=\frac14`

28.
`cos(y)=(2)/(2√(17) )=(√(17) )/(17)\frac{}{}`

30.
`sin(30)=\frac12`

32.
`sin(45)=(√(2) )/(2)`

34.
`cos(30)=(√(3) )/(2)`

36.
`tan(31)=(AC)/(9)`

`\implies AC=9tan(31)=5.41` (nearest hundredth)

Answer 2

Explanation:

use SOH CAH TOA to remember sin cos and tan functions

Sin = oppostive/hypotenuse
Cos = adjacent/hypotenuse
Tan = opposite/adjacent

22. cos(x) = b/c
24. sin(x) = 2/2sqrt(17) = 1/sqrt(17)
26. tan(x) = 2/8 = 1/4

28. cos(y) = 2/2sqrt(17) = 1/sqrt(17)
30. sin(30)
in a 30 60 90 triangle, the side opposite 30 is 1, the side opposite 60 is sqrt(3), the side opposite 90 is 2.
sin(30) = opposite/hypotenuse = 1/2/1 = 1/2
32.
in a 45 45 90 triangle, the side opposite 45 is 1, the side opposite 45 is 1, the side opposite 90 is sqrt2.

sin = opposite/hypotenuse = 1/sqrt(2)
34. cos(30) = sqrt(3)/2

36. tan(31) = AC/9 --> AC = 9tan(31) = 5.408