Question

I need help!!! I can give you 15 coins!!​

Answer 1

1. d ≈ 19

2. a ≈ 39.00°

3. x ≈ 37°

Explanation:

1) Using sine to find d, recall that sine = opposite side/hypotenuse. So:

`sin(39) = (d)/(30)`

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:

`sin(a) = (18.88)/(30)`

Using the inverse of sine:

`a = sin-1((18.88)/(30))`

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:

`tan(x) = (300)/(400)`

Using inverse of tangent:

`x = tan-1 ((300)/(400))`

Input into calculator:

x ≈ 37°