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.
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 = ?
1 answer