Question

Angle C is a right angle. Find the side indicated to the nearest tenth. Find c if b=11.9, m∠B=20°

A.) 45.2
B.) 43.1
C.) 42
D.) 34.8

Answer 1

D

Explanation:

using the sine ratio in the right triangle

sin20° =
`(opposite)/(hypotenuse)` =
`(AC)/(AB)` =
`(11.9)/(c)` ( multiply both sides by c )

c × sin20° = 11.9 ( divide both sides by sin20° )

c =
`(11.9)/(sin20)` ≈ 34.8 ( to the nearest tenth )