Suppose a 6-ft person wishes to determine the height of a footbridgeconnecting two buildings, as shown in

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Suppose a 6-ft person wishes to determine the height of a footbridgeconnecting two buildings, as shown in Figure 7.52.

Figure  7.52

J H S P T B LLLLL

To do this, this person stands at one end of the bridge (point S) and looks down to a point directly below the other end (point T) that is, to point B. With the help of a companion, point P is determined to form two triangles.
a. Identify the two triangles.

b. Are the triangles similar? Why or why not?

c. Find the height of the footbridge, if |S̅P̅| = 10 ft and |P̅T̅| = 35 ft.

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