To find the measure of the angle to the nearest degree, we can use inverse trigonometric functions. Here are the calculations for each scenario:
a) tan A = 0.2223
To find the angle A, we can use the inverse tangent (arctan) function:
A = arctan(0.2223)
Using a calculator or trigonometric tables, we find that A ≈ 12.8 degrees (rounded to the nearest degree).
b) cos B = 0.0911
To find the angle B, we can use the inverse cosine (arccos) function:
B = arccos(0.0911)
Using a calculator or trigonometric tables, we find that B ≈ 84.5 degrees (rounded to the nearest degree).
c) sin C = 0.6247
To find the angle C, we can use the inverse sine (arcsin) function:
C = arcsin(0.6247)
Using a calculator or trigonometric tables, we find that C ≈ 38.5 degrees (rounded to the nearest degree).
Please note that these calculations assume angles measured in degrees.