Chapter 1.2, Problem 74E

Estimates of Heights There is a relatively simple way to make a reasonable estimate of a vertical height.

Step 1 Hold a 1-ft ruler vertically at arm’s length and approach the object to be measured.

Step 2 Stop when one end of the ruler lines up with the top of the object and the other end with its base.

Step 3 Now pace off the distance to the object, taking normal strides. The number of paces will be the approximate height of the object in feet.

Reasons

(a) $CG=\frac{CG}{1}=\frac{AG}{AD}$ _____________________________

(b) $\frac{AG}{AD}=\frac{EG}{BD}$ _____________________________

(c) $\frac{EG}{EF}=\frac{EG}{BD}=\frac{EG}{1}$ ______________________________

(d) CG ft = EG paces _______________________________

(e) What is the height of the tree in feet?