Question

Glven: ABC is a right triangle with right angle C. AB 18 centimeters and mZA 22". What is BC? Enter your answer, rounded to the nearest tenth, in the box.​

Answer 1

We can use trigonometry to find the length of the side BC of the right triangle ABC. Specifically, we can use the sine function, which relates the opposite side of an angle to the hypotenuse:
sin(A) = opposite / hypotenuse
In this case, angle A is opposite side BC, and the hypotenuse is AB. We know the value of angle A, which is 22 degrees, so we can plug in the values and solve for BC:
sin(22) = BC / 18
Multiplying both sides by 18, we get:
BC = 18 * sin(22)
Using a calculator, we get:
BC ≈ 6.6
Rounding to the nearest tenth, we get:
BC ≈ 6.6 cm
Therefore, the length of side BC is approximately 6.6 centimeters.