Question

Solve the questions bellow

Answer 1

1. 29.67°

2. 68.96°

3. 89.85°

Explanation:

1. Reference angle = x

Opposite = 45 cm

Adjacent = 79 cm

Therefore:

`tan(x) = (45)/(79)`

`tan(x) = 0.569620253`

`x = tan^(-1)(0.569620253)`

`x = 29.67` (nearest hundredth)

2. Reference angle = B

Opposite = 14

Hypotenuse = 15

Therefore:

`sin(B) = (14)/(15)`

`sin(B) = 0.93333`

`B = sin^(-1)(0.93333)`

`B = 68.96` (nearest hundredth)

3. Reference angle = x

Adjacent = 238,900 mi

Hypotenuse = 92,955,807 mi

Therefore:

`cos(x) = (238,900)/(92,955,807)`

`x = cos^(-1)((238,900)/(92,955,807))`

`x = 89.85` (nearest hundredth)