Question

I’ve asked for help like 5 times… plsss somebody.. i need it asap

Answer 1

1. x = 13

2. x = 8

3. y = 7√3

4. x = 11√2

5. x = 5

6. x = 18

7. y = 11

8. x = 8√2

9. x = 14√3

Explanation:

1.

`\tan(45°) = (x)/(13)`

`x = 13 * \tan(45°) = 13 * 1 = 13`

2.

`\sin(30°) = (4)/(x)`

`x = (4)/( \sin(30°) ) = (4)/(0.5) = 8`

3.

`\tan(60°) = (21)/(y)`

`y = (21)/( \tan(60°) ) = (21)/( √(3) ) = 7 √(3)`

4.

`\cos(45°) = (x)/(22)`

`x = 22 * \cos(45°) = (22)/(1) * ( √(2) )/(2) = (22 √(2) )/(2) = 11 √(2)`

5.

`\tan(45°) = (5)/(x)`

`x = (5)/( \tan(45°) ) = (5)/(1) = 5`

6.

`\sin(30°) = (9)/(x)`

`x = (9)/( \sin(30°) ) = (9)/(0.5) = 18`

7.

`\cos(60°) = (y)/(22)`

`y = 22 * \cos(60°) = (22)/(1) * (1)/(2) = 11`

8.

`\sin(45°) = (x)/(16)`

`x = 16 * \sin(45°) = (16)/(1) * ( √(2) )/(2) = (16 √(2) )/(2) = 8 √(2)`

9.

`\tan(30°) = (x)/(42)`

`x = 42 * \tan(30°) = (42)/(1) * ( √(3) )/(3) = (42 √(3) )/(3) = 14 √(3)`

Answer 2

I assume you are learning about right triangle trig.

The three important relations are:

1. adjacent side = cos(x) * hypotenuse

2. opposite side = sin(x) * hypotenuse

3. tan(x) = opposite side / adjacent side

The adjacent side is the side adjacent to the angle x and the opposite side is opposite of angle x. I assume you know how to identify the hypotenuse.

Lastly let me just give you an example of how I would solve one of your problems and then you can take it from there.

For question 6 you know an angle is 30 degrees. You know the length of the side opposite to the angle and you want to find the length of the hypotenuse.

Equation 2 relates all three of these pieces of information. Using equation 2,

9 = sin(30)*x

x = 9/sin(30) = 9/(1/2) = 18