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?

Question

35.9°

36°

36.9°

37.5°

Answer 1

The measure of the angle adjacent to the 4-meter leg in a right triangle can be found using the arctangent function.

tan(θ) = opposite/adjacent
tan(θ) = 3/4
θ = tan^(-1)(3/4)
θ ≈ 36.9°

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

So the answer is 36.9°.