Question

Question 1-3
20 points

Answer 1

1. x = 15

y = 15√3

2. x ≈ 20,0

3. x ≈ 49,9°

Explanation:

1. First, use trigonometry to find x:

`\sin(30°) = (x)/(30)`

`x = 30 * \sin(30°) = 15`

Now use the Pythagorean theorem to find y:

`{?}^(2) = {30}^(2) - {15}^(2) = 900 - 225 = 675`

`y > 0`

`y = √(675) = 15 √(3)`

2. Use trigonometry to find x:

`\cos(32°) = (x)/(24)`

`x = 24 * \cos(32°) ≈20.0`

3. Use trigonometry to find x:

`\sin(x°) = (13)/(17)`

x ≈ 49,9° (use the reverse sin (shift, sin) function on the calculator)