Final answer:
To find the lengths of the legs of a right triangle, use trigonometric functions. Using the given angle as 35 degrees and the hypotenuse as 9 inches, we can find the lengths of the legs using the sine and cosine functions.
Step-by-step explanation:
To find the lengths of the legs of a right triangle, we can use the trigonometric functions. In this case, one angle is given as 35 degrees.
Let's assume the length of one leg is 'a' and the length of the other leg is 'b'. We can use the sine function to find the length of 'a' and the cosine function to find the length of 'b'.
The sine of the given angle (35 degrees) is equal to the opposite side (length 'a') divided by the hypotenuse (9 inches). So, sin(35) = a/9.
Solving for 'a', we get a = sin(35) * 9.
The cosine of the given angle (35 degrees) is equal to the adjacent side (length 'b') divided by the hypotenuse (9 inches). So, cos(35) = b/9.
Solving for 'b', we get b = cos(35) * 9.