a$)$ Load the data using input$\_$data $=$ np$.$genfromtxt$(f$ ilename, delimiter$=\text{'},\text{'})$ with the appropriate substitution for the string filename $.$

Note: The function will load an array with shape $(1201,2).$ The data points for elevations $(y-$axis$)$ of the topographic profile are stored in the first column of the

array and the longitudes $(x-$axis$)$ are stored in the second column.

b$)$ Extract the measured heights $($elevations$)$ from the first column into a new variable heights. Also extract the corresponding longitudes from the second column into a new

variable named lons.

Calculations:

c$)$ Find the maximum and minimum heights in the profile and save them to variables $h_{?}$max and $h_{?}$min respectively. Also find the index position of the minimum and maximum

heights, saving those to $h_{?}$max$\_$idx and $h_{?}$min$\_$idx.

Use functions np$.$min to find the minimum and np$.$max to find the maximum. Use functions np $.$argmin to find index of the minimum and $p.$argmax to find

the index of the maximum.

d$)$ Find the two longitudes that correspond to the $h_{m}ax$ and $h_{-}$min of the profile and save them to variables lon$\_$h$\_$max and lon$\_$h$\_$min respectively. Use a neatly formatted

string to print the longitude$-$height pair for both the minimum and maximum heights to two decimal precision.

e$)$ Calculate the length of the small circle at $=49\mathrm{.}27$ and assign the result to a variable L$\_$small. Use $R=6371km$ for the radius of the Earth.

Note: The function np$.$cos expects its input argument to be in radians and not degrees. Use the function np$.$ deg $2$ rad to do this conversion from degrees to

radians.

f$)$ Calculate the total length of the profile in kilometres, saving your result to a variable L$\_$profile.

Note: You might want to calculate an intermediate quantity which is the number of km per degree of longitude at $=49\mathrm{.}27($see the reading$).$

g$)$ Using Vancouver's longitude of $=-123\mathrm{.}12,$ convert the longitudes in lons to distance $($in $km)$ from Vancouver and save to a new variable $L_{-}$from$\_$van $.$

h$)$ Find the index position corresponding to Vancouver's location in the profile. Use the index to save the height at this point to a variable named $h_{?}$van $.$

Note: the array lons does not contain the exact value of $,$ so you will need to instead identify the next nearest longitude. This is similar to Part i$)$ in Question $1.$

Plotting:

i$)$ Plot the profile in units of metres for elevations against the distance from Vancouver in units of kilometres with elevations in the $y-$axis.

j$)$ Using the variables above, plot the maximum with a red circle, and the minimum with a blue circle. Also indicate the location of Vaincouver on the profile line using a green star

marker.

k$)$ Add a horizontal dashed line at sea level $($zero elevation$)$ on vour plot.