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

PLEASEEEEE HELPPP I need help for numbers 22, 24, 26, 28, 30, 32, 34, 36-example-1

2 Answers

4 votes

Answer:

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)

User Ajmedway
by
7.8k points
13 votes

Answer:

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

User Wonzbak
by
7.4k points

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