To solve for x, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
In this case, the hypotenuse is given as 19 and the adjacent side is given as 17. Let's call the opposite side of the triangle (the side opposite to angle x) as b.
Using the Pythagorean theorem, we have:
19^2 = 17^2 + b^2
361 = 289 + b^2
361 - 289 = b^2
72 = b^2
To find the value of b, we take the square root of both sides:
b = √72
Rounded to the nearest tenth, b ≈ 8.5.
Since x is the angle opposite to the side with length b, we can use trigonometry to find the value of x. Let's use the sine function:
sin(x) = opposite/hypotenuse
sin(x) = 8.5/19
x = sin^(-1)(8.5/19)
Using a calculator to find the arcsin, we get:
x ≈ 28.5
Therefore, the value of x, rounded to the nearest tenth, is 28.5.
Out of the options provided, the correct answer is 28.5.
A right triangle has a Hypostneuse of 19 an Adajecent of 17 and A corner of x*
Solve for x. Round to the nearest tenth (1 point)
choose one of the following:
32.3
41.8
63.5
28.5
1 answer