Question

angle B is an acute angle in a right triangle. what is a reasonable approximation for angle B if the ratio for the opposite leg divided by the hypotenuse is 0.67?

Answer 1

Answer:

0.73 rad (approx.), or 42 degrees

Step-by-step explanation:

The "ratio for the opposite leg divided by the hypotenuse is 0.67" implies that

sin B = 0.67.  To find the measure of the angle B, we need only to find

arcsin 0.67 = B.  Using a calculator, arcsin 0.67 = 0.73 rad (approx.), or

42 degrees.