Using the info given, solve for the missing value of the right triangle. Round each angle to the nearest degree, each length to the nearest tenth, & each trigonometric value to four decimal places, if necessary.

Question

Hypotenuse = 14.5 meters
Opposite side = 6.3 meters
θ = ?

Answer 1

To solve for the missing angle, you can use the sine function:

sin(θ) = Opposite / Hypotenuse

Substituting the known values:

sin(θ) = 6.3 / 14.5

θ = arcsin(6.3 / 14.5)

Using a calculator, the value of θ is approximately 25.6174 degrees.