Solve the problem.A surveyor standing 64 meters from the base of a building measures the angle of elevation to the top of the building and finds it to be 38°. The surveyor then measures the angle of elevation to the top of the radio tower on the building and finds that it is 47°. How tall is the radio tower? Round your answer to the nearest hundredth of a meter when necessary.

A. 7.4 m
B. 6.78 m
C. 18.63 m
D. 10.14 m


Answer: C

Mathematics

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Evaluate the integral.Use the formula  to evaluate the integral. 

A. x cot-1 x - ln + C
B. x cot-1 x + ln + C
C. x cot-1 x + ln x + C
D. x cot-1 x + x + C

Mathematics

Give the domain and range of the relation.{(3, 3), (-2, -2), (-7, -7), (4, 4)}

A. domain: {-7, -2, 3, 4}; range: {-7, -2, 3, 4} B. None of these C. domain: {3, 4}; range: {-7, -2} D. domain: {-7, -2}; range: {3, 4}

Mathematics

Solve the problem.The cost of renting a certain type of car is $40 per day plus $0.11 per mile. Find a linear function f(x) that expresses the cost of renting a car for one day as a function of the number of miles driven x.

A. f(x) = (x + 0.11) + 40 B. f(x) = 40x + 0.11 C. f(x) = 0.11x + 40x D. f(x) = 0.11x + 40

Mathematics

Write the expression with only positive exponents and evaluate if possible. Assume all variables represent nonzero real numbers.(-2)-6

A. -64
B. -  
C. 64 
D.  

Mathematics