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

A ) 35.9
B ) 36
C ) 36.9
D ) 37.5

Answer 1

To find the measure of the angle adjacent to the 4 meter leg, we can use the trigonometric function tangent (tan).

tan(angle) = opposite/adjacent

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

tan(angle) = 3/4

Now we can find the angle by taking the inverse tangent (arctan or tan^-1) of both sides:

angle = arctan(3/4)

Using a calculator, we find that angle is approximately 36.9 degrees.

Therefore, the answer is C) 36.9.