CPM Homework Help : A2C Problem 7-59

You are standing $60$ feet away from a five-story building in Los Angeles, looking up at its rooftop. In the distance you can see the billboard on top of your hotel, but the building is completely obscured by the one in front of you. If your hotel is $32$ stories tall and the average story is $10$ feet high, how far away from your hotel are you?

Right triangle, with rectangle, labeled, your hotel, 320 feet, on the right side of vertical leg, with stick figure, at bottom left vertex. Smaller rectangle, labeled 5 story building, 50 feet, is drawn in the right triangle, so that the top left vertex of both rectangles, align on the hypotenuse. Smaller right triangle, from stickman to 5 story building, has horizontal leg, labeled 60 feet.

Hint:

Think of this problem as a set of two similar triangles. Create two fractions that are equal to each other.

More Help:

$\frac{50}{60}=\frac{320}{x}$