Answer:
h = 11/sin 40°
h = 11/cos 50°
Step-by-step explanation:
Angle A = 40°
Angle C = 50°
For sin, do opposite leg divided by the hypotenuse. (sin 50° = 0.6428)
0.6428 = 11/h
0.6428h = 11
Divide each side by 0.6428.
h = 17.1
For cos, do adjacent leg divided by the hypotenuse. (cos 40° = 0.6428)
0.6428 = 11/h
0.6428h = 11
Divide each side by 0.6428.
h = 17.1
The reason the other answer choices are wrong is because they don't use the right formulas for sin and cos. The formula for sin is opposite leg/hypotenuse. The formula for cos is adjacent leg/hypotenuse. But the other wrong answer choices used the sin formula for cos, and the cos formula for sin.
(By the way, I got this right on my assignment.)
Hope this helps!
