Geometry, Prentice Hall (Pearson), 2007, pg. 151
Kate Nowak gets out the knives and goes in:
I think Pearson knows that angles are hard to motivate. You would hope that the multi-jillion dollar conglomerate we paid multi-thousand dollars for books and associated peripherals would use all that money to help me. But they clearly punted on motivating angle measure. The lessons are dry and contextless and the exercises include this monstrosity.
- Yes people have to prop piano lids with sticks, but what could possibly happen that we would give a flip about the measures of those angles?
- The photo is not taken head-on. I bet that given angle isn’t even really 57 degrees.
- Superimposing a diagram of a triangle on a photo does not make it a real world application.
- Do “prop sticks” on all pianos intersect the lid at 90 degrees? Why? Is the prop-stick length and angle determined by the width of the piano? Yes, if the right angle is required, by hypotenuse-leg, and no, if it’s not, because it’s side-side-angle. I still don’t really care, but it’s at least a teeny bit more interesting.
The lid of a grand piano is held open by a prop stick whose length can vary, depending upon the effect desired. The longest prop stick makes angles as shown. What are the values of x and y?
A short prop stick makes the angles shown below. What are the values of a and b?
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