MATH SOLVE

4 months ago

Q:
# Which expressions can be used to find m angle ABC? Selecttwo options.

Accepted Solution

A:

Answer:cos ⁻¹ [6.3/9.8] . . . second choice, andsin ⁻¹ [7.5/9.8] . . . last choice.Explanation:The little red square indicates that the angle C measures 90°, which means that ABC is a right triangle.The opposite side to angle C is the hypotenuse of the triangle. Then, the hypotenuse measures 9.8 in.The requested measure, m ∠ ABC, is the measure of the angle B. With respect to angle B you have:Opposite leg: 7.5 inAdjacent leg: 6.3 inThus, the trigonometric ratios for angle B are:cos B = adjacent leg / hypotenuse = 6.3 in / 9.8 in = 6.3 / 9.8sin B = opposite leg / hypotenuse = 7.5 in / 9.8 in = 7.5 / 9.8Finally, to find the measures of angle B, you just need to find the inverse functions, which are:cos ⁻¹ [6.3/9.8] . . . second choice, andsin ⁻¹ [7.5/9.8] . . . last choice.