Question

1.explain how you could use what you have learned to calculate the height of the leaning tower of pisa on a sunny day.



2.research other real-world situations where triangulation is used. post your findings for your fellow students to see. what questions do you still have about the unit?

Answer 1

Answer:

1. The slant height of the tower of Pisa is $\sqrt{H_v^2 + L_s^2}$

Where:

$H_v$ = Vertical height of the tower of Pisa (Required)

$L_s$ = Length of from the base of the tower to the point where the top is directly up above

2. Calculation of time using the length our shadow

Step-by-step explanation:

1) As the sun is rising, we measure the our shadow and the measure the shadow cast by the leaning side of the tower of Pisa, then we use similar triangles to calculate the vertical height of the tower of Pisa as follows;

$\frac{Our \, Height \, (known)}{Length \, of \, our \, shadow \, (known)} = \frac{ Vertical \, height \, of \, the \, tower \, of \, Pisa \, (Required) \, H_v}{Length \, of \, the \, shadow \, cast \, by \, the \, slant \, side \, of \, the \, tower \, of \, Pisa, \ L_V}$

$Vertical \, height \, of \, the \, tower \, of \, Pisa \, (Required) \, H_v} = \frac{Our \, Height \, (known) \times L_v}{Length \, of \, our \, shadow \, (known)}$

Then, at exactly noon, or when the Sun is directly overhead the tower casting a shadow, we measure the length of the covering from the the base to end of the shadow where the tip is directly up ahead (which can be done by measuring the base of the tower to the point where the top of the tower is directly up above), we call this length $L_s$

Then, the slant height of the tower of Pisa = $\sqrt{H_v^2 + L_s^2}$

2. Other real world situation is the calculation of the time of the day using our shadow and triangulation.