There's a right triangle. There's an angle that measures 41 degrees. The hypotenuse is x, and the angle opposite 41 degrees measures 25 in length. How can I find what x is? The proportion set up is 25/x, but how do you solve for x?
Use the law of sines.
25/sin 41 = (hypotenuse)/sin 90 = hypotenuse = x
x = 38.1
thanks
To solve for x, you can use the trigonometric function known as the sine function. In a right triangle, the sine of an angle is equal to the ratio of the length of the side opposite the angle to the length of the hypotenuse.
In this case, you have the angle opposite 41 degrees measuring 25 in length. Therefore, you can set up the following proportion using the sine function:
sin(41 degrees) = opposite/hypotenuse
sin(41 degrees) = 25/x
Now, you want to solve for x. To do this, you can rearrange the equation to isolate x:
x * sin(41 degrees) = 25
x = 25 / sin(41 degrees)
Using a calculator, take the reciprocal of the sine of 41 degrees and then multiply it by 25 to find the value of x.
To solve for x in this scenario, you can use the concept of trigonometric ratios, specifically the sine function. In a right triangle, the sine of an acute angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.
In this case, the given angle is 41 degrees, and the length of the side opposite that angle is 25 units. We can set up the proportion:
sin(41°) = opposite/hypotenuse
Using the definition of the sine function, we have:
sin(41°) = 25/x
Now, to solve for x, we can isolate it by multiplying both sides of the equation by x and then dividing by sin(41°):
x = (25) / sin(41°)
To find the value of x, you need to know the value of sin(41°). You can use a scientific calculator or an online trigonometry calculator to determine this value.