Answer:
105.46 feet
Step-by-step explanation:
We know all three angles (60, 90, and 30), as well as one side, which is adjacent to the 60 degrees. We want to find the side opposite to the 60 degree angle. To do this, we can use tangent, utilizing both opposite and adjacent.
Using tan, we can say that tan(60) = x/58, with x representing the height of the lighthouse (minus 5, because Santos is 5 feet tall and he is measuring the angle from the top of his head). Multiplying both sides by 58, we can get that 58 *tan(60) = x = 100.46. Add 5 to that to get 105.46 feet as your answer.
 
        
             
        
        
        
Answer:
f(-5)=-5
Step-by-step explanation:
f(-5)= -((-2)(-5)-5)
      = -(10-5)
      = -(5)
      = -5
 
        
                    
             
        
        
        
Remember that when you find 30% of the number you have to subtract the 30% from your original $90 because it is 30% off the original price.
 
        
        
        
Answer:
f(2)= -4 
Step-by-step explanation:
f(x)= -x^3 + 6x - 7 
f(2) = -2^3 + 6*2 - 7 
f(2)= -8 +12 -7
f(2)= 3-7 
f(2)= -4