Base of prism is seemed to be a triangle
- Base=B=3
- Height of base=H=6units
- Height of prism=8
Area of base=
 
 
Now
 
 
        
             
        
        
        
Answers:
tan(A) = 8/15
sin(A) = 8/17
cos(A) = 15/17
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Explanation:
The tangent ratio involves the opposite over adjacent. With respect to angle A, the opposite side is 8 units long as this side is as far as possible away from angle A. In contrast, the adjacent side is 15 units long because this leg is closest possible and the two are right next to one another.
Therefore,
tan(angle) = opposite/adjacent
tan(A) = BC/AC
tan(A) = 8/15
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As for the other trig ratios, they are:
sin(angle) = opposite/hypotenuse
cos(angle) = adjacent/hypotenuse
which explains why sin(A) and cos(A) are 8/17 and 15/17 respectively.
 
        
             
        
        
        
<h2>
Answer:</h2>
The method suggested by Bobby is better than Allie.
<h2>
Step-by-step explanation:</h2>
A fair sample is a sample where each sample has an equal opportunity to get selected for any survey.
Here, in the given question, Allie suggested that the first 3 students to arrive in class the next day should be the representatives. This sample is not random or fair.
Whereas, Bobby suggested that each student roll 2 numbers cubes and the 3 students with the highest sum should be the representatives. This method is a fair method.
The method suggested by Bobby is better than Allie as every student will get an equal chance to perform and also has an equal chance to win and get a high sum.
 
        
        
        
Answer:
8.4 cm
Step-by-step explanation:
The sides involved are opposite and adjacent to the given angle. Therefore, you should use the tangent ratio.
Substitute:
tanx = opp/adj
tan35 = x/12
Multiply by 12 on both sides:
12(tan35) = (x/12)12
12(tan35) = x
Solve:
12(tan35) = x
8.4 = x