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.
Opposite side = 244 yards
Adjacent side = 119 yards
cos θ = ?
To find the value of cos θ, we can use the adjacent side and the hypotenuse of the right triangle.
Using the given information, we have:
Opposite side = 244 yards
Adjacent side = 119 yards
To find the hypotenuse, we can use the Pythagorean theorem:
Hypotenuse^2 = Opposite side^2 + Adjacent side^2
Hypotenuse^2 = 244^2 + 119^2
Hypotenuse^2 = 59536 + 14161
Hypotenuse^2 = 73797
Taking the square root of both sides:
Hypotenuse = √(73797)
Hypotenuse ≈ 271.5 yards
Now, we can find cos θ by dividing the adjacent side by the hypotenuse:
cos θ = Adjacent side / Hypotenuse
cos θ = 119 / 271.5
cos θ ≈ 0.4388
Therefore, cos θ ≈ 0.4388.
To find the missing value of the right triangle, we need to calculate the cosine of θ.
The cosine of an angle (θ) is equal to the adjacent side divided by the hypotenuse.
Given that the adjacent side is 119 yards and the hypotenuse is yet to be determined, let's label the hypotenuse as "h".
cos θ = adjacent / hypotenuse
cos θ = 119 / h
To solve for h, we can rearrange the equation:
h = 119 / cos θ
Now we need to substitute the given values for the adjacent side and solve for h.
h = 119 / cos θ
Since the value of cos θ is not provided, we cannot calculate the missing value without additional information.