You are given a right triangle. The Opposit side length is 7 and the hypotenuse length is 9. What is the degree of the bigger angle? (The one closest to the 90* angle)
To find the degree of the bigger angle in the right triangle, we can use the inverse sine function.
First, we need to identify which sides of the triangle are related to the angle whose degree we are trying to find. In this case, the angle closest to the 90° angle, known as the "larger angle," is opposite the longer side (hypotenuse) and adjacent to the shorter side (opposite side).
We are given the length of the opposite side (7) and the hypotenuse (9). We can use the inverse sine function, also known as the arcsine (sin⁻¹), to determine the angle.
Using the formula:
sin⁻¹(opposite/hypotenuse) = angle
Plugging in the given values:
sin⁻¹(7/9) = angle
Now, we can solve for the angle by evaluating the inverse sine of 7/9 using a calculator or math software.
The result will give us the angle in radians. To convert it to degrees, we need to multiply it by 180/π since there are π radians in 180 degrees.
So, the degree of the bigger angle in the right triangle can be found by evaluating sin⁻¹(7/9) and converting the result to degrees.