A simple sundial has a gnomon 10 cm high. Suppose the angle of the sun with respect to the gnomon changes from -75 degree at 7:00 am to +75 degree at 5:00 pm. a) Write an expression for the length of the shadow in terms of the angle of the sun. b) Describe any assumptions you made in creating this model. c) Determine the length of the shadow at 9:00 am d) Determine the length of the shadow at 4:00 pm.
Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
A simple sundial has a gnomon 10 cm high. Suppose the angle of the sun with respect to the gnomon changes from -75 degree at 7:00 am to +75 degree at 5:00 pm.
a) Write an expression for the length of the shadow in terms of the angle of the sun.
b) Describe any assumptions you made in creating this model.
c) Determine the length of the shadow at 9:00 am
d) Determine the length of the shadow at 4:00 pm.
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