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Home > INT3 > Chapter 8 > Lesson 8.1.2 > Problem 8-37

8-37.

You are standing feet away from a five-story building in Los Angeles, looking up at its rooftop. Your eyes are approximately five feet above the ground. In the distance you can see the billboard on top of your hotel, but the hotel building is completely obscured by the building in front of you. If your hotel is stories tall and the average story is feet high, how far away from your hotel are you?

Start by drawing a diagram.

2 right triangles, sharing the same vertex, horizontal leg of smaller, extends to be horizontal leg of larger. A horizontal line, below the horizontal leg, with Both vertical legs extending to the bottom line. A stick figure stands on the bottom line, such that the lower vertex of acute angle, is almost to the top of the figure. Vertical legs, each extended to bottom line, labeled as follows: smaller, 5 story building, larger, your hotel.

Add measurements to the given diagram.

There are similar triangles in the diagram. Write and solve a proportion to determine the distance to the hotel.

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