Question

Which expressions can be used to find m angle ABC? Select two options.

Answer 1

Answer:

• cos ⁻¹ [6.3/9.8]   . . .  second choice, and

• sin ⁻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 in

• Adjacent leg: 6.3 in

Thus, the trigonometric ratios for angle B are:

• cos B = adjacent leg / hypotenuse = 6.3 in / 9.8 in = 6.3 / 9.8

• sin B = opposite leg / hypotenuse = 7.5 in / 9.8 in = 7.5 / 9.8

Finally, 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, and

• sin ⁻¹ [7.5/9.8] . . .  last choice.

Answer 2

Answer:

b,e

Step-by-step explanation: