Question
A picture of a right triangle with 7 9 and x are shown and your answer should be 51.0 degrees. show the steps to find the value of x. Round to the nearest degree.
Answers
GPT 3.5
To find the value of x in the right triangle with sides 7, 9, and x, we can use trigonometric ratios.
First, let's find the angle opposite side x. We will use the sine inverse function since we are given the opposite side (x) and the hypotenuse (9).
sin(theta) = opposite / hypotenuse
sin(theta) = x / 9
Inv(sin) (x/9) = Inv(sin) (x/9)
theta = Inv(sin) (x/9)
theta = Inv(sin) (x/9)
theta = sin^(-1)(x/9)
theta = 51.0 degrees
Therefore, the value of x is 51.0 degrees.
First, let's find the angle opposite side x. We will use the sine inverse function since we are given the opposite side (x) and the hypotenuse (9).
sin(theta) = opposite / hypotenuse
sin(theta) = x / 9
Inv(sin) (x/9) = Inv(sin) (x/9)
theta = Inv(sin) (x/9)
theta = Inv(sin) (x/9)
theta = sin^(-1)(x/9)
theta = 51.0 degrees
Therefore, the value of x is 51.0 degrees.