d=sqrt(100^(2)+h^(2)).
(a) Use a graphing utility to graph the equation. Use the trace feature to approximate the value of h when d=195. (Round your answer to two decimal places.)
(b) Complete the table. (Round your answers to one decimal place.)
Use the table to approximate the value of h when d=195. (Round your answer to the nearest whole number.)
h=
(c) Find h algebraically when d=195. (Round your answer to one decimal place.)
h=
(d) Compare the results of each method. In each case, what information did you gain that wasn't revealed by another solution method?
Graphical methods yield exact solutions; the numerical and algebraic methods show only approximations of positive solutions.
Algebraic methods yield exact solutions; the numerical and graphical methods show only approximations of positive solutions.
Algebraic and numerical methods yield exact solutions; the graphical methods show only approximations of positive solutions.
Algebraic, numerical, and graphical methods yield the same information with the same degree of precision.
Numerical and graphical methods yield exact solutions; algebraic methods show only approximations of positive solutions.
A meteorologist is positioned 100 feet from the point at which a weather balloon is launched. When the balloon is at height h, the distance d (in feet) between the meteorologist and the balloon is given by
=1002+h2 (a) Use a graphing utility to graph the equation. Use the trace feature to approximate the value of h when d = 195. (Round your answer to two decimal places.) h =380 x
(b) Complete the table. (Round your answers to one decimal place.)
160
165
170
175
180
185
Use the table to approximate the value of h when d = 195. (Round your answer to the nearest whole number.) h =
(c) Find h algebraically when d = 195. (Round your answer to one decimal place.) h =
(d) Compare the results of each method. In each case, what information did you gain that wasn't revealed by another solution method? O Graphical methods yield exact solutions; the numerical and algebraic methods show only approximations of positive solutions. O Algebraic methods yield exact solutions; the numerical and graphical methods show only approximations of positive solutions. O Algebraic and numerical methods yield exact solutions; the graphical methods show only approximations of positive solutions. O Algebraic, numerical, and graphical methods yield the same information with the same degree of precision. O Numerical and graphical methods yield exact solutions; algebraic methods show only approximations of positive solutions.