To find the adjacent side of the right triangle, we can use the cosine ratio. The cosine ratio states that the cosine of an angle is equal to the length of the adjacent side divided by the length of the hypotenuse.
cos(θ) = adjacent/hypotenuse
In this case, θ is given as 25° and the hypotenuse is 255 ft. Let's calculate the adjacent side:
cos(25°) = adjacent/255
To solve for the adjacent side, we can rearrange the equation:
adjacent = cos(25°) * 255
Using a calculator, the cosine of 25° is approximately 0.9063. Multiplying this by 255, we find:
adjacent ≈ 0.9063 * 255 ≈ 231.0925
Rounding to the nearest tenth, the length of the adjacent side is approximately 231.1 ft.
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.
Hypotenuse = 255 ft
θ = 25°
Adjacent side = ?
1 answer
1 answer