Question

Find the height of the footbridge, if sp = 26 ft and pt = 65 ft.

a) 39.5 ft
b) 32.1 ft
c) 29.8 ft

Answer 1

To find the height of the footbridge, we can use the concept of similar triangles. By setting up a proportion with the given values, we can find that the height of the footbridge is 26 ft.

Step-by-step explanation:

To find the height of the footbridge, we can use the concept of similar triangles. In this case, SP represents the height of the footbridge and PT represents the distance between the footbridge and the person. Since the triangles are similar, we can set up the following proportion:

(SP/PT) = (ft/PT)

Substituting the given values, we have:

(SP/65) = (26/65)

Now, we can cross multiply and solve for SP:

SP = (26/65) * 65

SP = 26 ft

Therefore, the height of the footbridge is 26 ft.