Question

Solve the questions bellow

Answer 1

Answer:

1. 29.67°

2. 68.96°

3. 89.85°

Step-by-step explanation:

1. Reference angle = x

Opposite = 45 cm

Adjacent = 79 cm

Therefore:

$tan(x) = \frac{45}{79}$

$tan(x) = 0.569620253$

$x = tan^{-1}(0.569620253)$

$x = 29.67$ (nearest hundredth)

2. Reference angle = B

Opposite = 14

Hypotenuse = 15

Therefore:

$sin(B) = \frac{14}{15}$

$sin(B) = 0.93333$

$B = sin^{-1}(0.93333)$

$B = 68.96$ (nearest hundredth)

3. Reference angle = x

Adjacent = 238,900 mi

Hypotenuse = 92,955,807 mi

Therefore:

$cos(x) = \frac{238,900}{92,955,807}$

$x = cos^{-1}(\frac{238,900}{92,955,807})$

$x = 89.85$ (nearest hundredth)