Question

Suppose you have a right triangle called Δdef where ∠e is the right angle. If ef=8 and de=10, which can be used to find ∠f?

1) Sine ratio
2) Cosine ratio
3) Tangent ratio
4) Pythagorean theorem

Answer 1

To determine °F in Δdef with ef=8 and de=10, you can use the sine ratio by calculating sin(°F) = opposite/hypotenuse = 8/10 and then use the inverse sine function to find the angle.

Step-by-step explanation:

To find °F in a right triangle called Δdef where °E is the right angle and given that ef=8 (opposite side) and de=10 (hypotenuse), you can use the sine ratio. According to trigonometric definitions, the sine of an angle in a right triangle is the ratio of the length of the opposite side to the angle to the length of the hypotenuse. Therefore, to find °F, you can calculate sin(°F) = opposite side/hypotenuse = ef/de = 8/10. Once you have this ratio, you can use the inverse sine function (also called arc sine) on a calculator to find the measure of angle °F.