McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
4. Inscribed Angles
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Exercise 62 Page 748

Recall that if two triangles are similar, the lengths of the corresponding altitudes are proportional to the lengths of corresponding sides.

5.6 ft

Practice makes perfect

Let's begin by drawing a diagram that illustrates the described situation.

To know how tall the person is being photographed, we need to find DE. According to the given diagram, we have that the height of â–ł ADE is 7 feet long and the height of â–ł ABC is 15 inches long.
Since â–ł ABC ~ â–ł AED, we can set the following proportion. DE/BC = AQ/AP Let's substitute the corresponding values into the equation above and solve it for DE.
DE/BC = AQ/AP
DE/12 in = 7 ft/15 in
â–Ľ
Solve for DE
DE = 12 in * 7 ft/15 in
DE = 84 ft/15
DE = 5.6 ft
In conclusion, the person being photographed is 5.6 feet tall.