Directions: Write out your solution on engineering paper following the solution method demonstrated in class $($and documented in the "Engineering Solution Format" in the course content folder. Then construct the solution in MatLab. "Publish" and print your solution. Staple both items $($hand written solution in front$)$ and submit at the start of class week $3.$

You can use trigonometry to find the height of a building as shown in the figure below. Suppose you measure the angle between the line of sight and the horizontal line connecting the measuring point and the building. You can calculate the height of the building with the following formulas:

$tan()=\frac{h}{d}$

$h=$dtan$()$

Assume that the distance to the building along the ground is $120$ meters and the angle measured along the line of sight is $30\frac{+}{-}3.$

a$)$ Find the maximum and minimum heights the building can be $($in feet $-$ you may need to review your conversions from last week!$).$

b$)$ If the building is $351$ feet tall and you are $79$ feet away, at what angle from the ground will you have to tilt your head to see the top of the building? $($Account for your height in this calculation by subtracting it from the height of the building$).$

c$)$ Based on your calculation from part b$,$ How far is it from your head to the top of the building?