Answer:
1. d ≈ 19
2. a ≈ 39.00°
3. x ≈ 37°
Step-by-step explanation:
1) Using sine to find d, recall that sine = opposite side/hypotenuse. So:
[tex]sin(39) = \frac{d}{30}[/tex]
Cross multiply:
d = 30 (sin(39))
d ≈ 19
2) To find the measure of the angle, we can use sine because we have the opposite side and hypotenuse measures. So:
[tex]sin(a) = \frac{18.88}{30}[/tex]
Using the inverse of sine:
[tex]a = sin-1(\frac{18.88}{30})[/tex]
Input into calculator:
a ≈ 39.00°
3) To find the measure of the angle, we can use tangent because we have the opposite side and adjacent side measures. So:
[tex]tan(x) = \frac{300}{400}[/tex]
Using inverse of tangent:
[tex]x = tan-1 (\frac{300}{400})[/tex]
Input into calculator:
x ≈ 37°
