Answer:
BC = 6.7 cm (rounded to nearest tenth)
Explanation:
Given: ABC is a right triangle with right angle C as shown below.
Side AB=18 cm and m∠A=22°.
Using Sine ratio in triangle ABC to find BC.
Sine ratio is defined as the ratio of the opposite side of a right triangle to the hypotenuse.
i.e
[tex]\sin A = \frac{Opposite side}{Hypotenuse side}[/tex]
Let BC = x (opposite side) and AB = 18 cm(Hypotenuse side)
then;
[tex]\sin 22^{\circ} = \frac{x}{18}[/tex]
[tex]0.37460659341 = \frac{x}{18}[/tex]
Multiply both sides by 18 we get;
[tex]x = 0.37460659341 \times 18 = 6.74291868[/tex]
therefore, value of BC (nearest tenth place) is, 6.7 cm
