A right triangle’s legs are 3 and 4 meters long. What is the measure of the angle adjacent to the 4-meter leg to the nearest tenth of a degree?%0D%0A%0D%0A(1 point)

Answer 1

To find the angle adjacent to the 4-meter leg in a right triangle with legs measuring 3 and 4 meters, you can use the tangent function.

Tangent (θ) = opposite / adjacent

In this case, the opposite side is 3 meters and the adjacent side is 4 meters.

Tangent (θ) = 3 / 4
θ = tan^(-1)(3/4)
Using a calculator, tan^(-1)(3/4) is approximately 36.9 degrees.

Therefore, the measure of the angle adjacent to the 4-meter leg is approximately 36.9 degrees to the nearest tenth of a degree.