Answer:
Option (A)
Step-by-step explanation:
It has been given in this question that sign telling path has a 2% grade.
2% grade means a rise of 2 meters for a horizontal change of 100 m (As given in the figure attached).
All the trigonometric ratios for the angle θ between the path and the horizontal are,
Sinθ = 
Cosθ = 
tanθ = 
Since measures of the opposite side and adjacent sides are given
Therefore, tangent ratio will be applied to get the measure of the angle,
tanθ = 
θ = 
Option (A) will be the answer.
Answer:
Michael bought 18 tacos and 9 burritos.
Step-by-step explanation:
Since at a particular fast food restaurant, tacos cost $ 1.29 and burritos cost $ 2.19, and Michael spent a total of $ 42.93 at the restaurant to buy food for a party, if he purchased half as many burritos as tacos, to determine how many tacos did he buy, the following calculation must be performed:
1.29 x 20 + 2.19 x 10 = 47.7
1.29 x 16 + 2.19 x 8 = 38.16
1.29 x 18 + 2.19 x 9 = 42.93
So Michael bought 18 tacos and 9 burritos.