Based on the given triangle, the length of the hypotenuse (x) is approximately 49.50 units.
How to find x
In the given right triangle, we have the adjacent side (a) as 35 and the angle θ (facing the adjacent side) as 45 degrees.
We need to find the length of the hypotenuse (x).
To solve for x, use the cosine (cos) function, as it relates the adjacent side and the hypotenuse:
cos(θ) = adjacent / hypotenuse
Substitute the known values:
cos(45 degrees) = 35 / x
To solve for x, rearrange the equation:
x = 35 / cos(45 degrees)
Using a calculator to evaluate the expression:
x = 35 / cos(45 degrees)
x = 35/0.7071
x ≈ 49.50
Therefore, the length of the hypotenuse (x) is approximately 49.50 units.