A) Problem 3
Answer: third option 11.5
Step-by-step explanation:
1) Since this is a right triangle you can use the trigonometric ratios.
2) sin (α) = opposite-leg / hypotenuse
3) α = 35°; opposite-lge = x; hypotenuse = 20.
4) substitute values
sin(35°) = x / 20
5) Solve for x
x = 20 * sin (35°) = 11.47
6) Round to the nearest tenth: 11.5
Answer: third option 11.5
B) Problem 4
Answer: first option 8.3
Step-by-step explanation:
1) Since it is a right triangle you can use trigonometric ratios
2) cos (α) = adjacent - leg / hypotenuse
3) α = 41°; adjacent - leg = x; hypotenuse = 11
4) Substitute values
cos (41°) = x / 11
5) Solve for x: x = 11 * cos (41°) = 8.30
6) Round to the nearest tenth: x = 8.3
Answer: 8.3