Question

Find the missing side of the right triangle. Round your answer to the nearest tenth the right side of the right triangle is 9 units the bottom side is 38 units, find the missing angle

Answer 1

To find the missing angle of a right triangle, we can use the trigonometric function inverse tangent (arctan).

We are given the lengths of two sides of the right triangle: the right side is 9 units and the bottom side is 38 units. To find the missing angle, we can use the inverse tangent function:

tan(angle) = opposite/adjacent

We can rearrange this equation to solve for the angle:

angle = arctan(opposite/adjacent)

In this case, the opposite side is the right side and the adjacent side is the bottom side. So we have:

angle = arctan(9/38)

Using a calculator, we can find: angle ≈ 13.97 degrees

Therefore, the missing angle of the right triangle is approximately 13.97 degrees.