Quandaries
and Queries 

Here's my question: A right triangle (roof of a house) has a base of 7 feet and a 22 degree angle. What is the height of the roof and what is the hypotenuse of the triangle. Thank you. 

Hi, I drew a diagram and labeled the height of the roof as h feet.
From the diagram the tangent of 22^{o} is ^{h}/_{7}, and hence
which is very close to 2 feet 10 inches. If the hypotenuse of the triangle is of length r feet then Pythagoras' theorem tell us that
thus
which is approximately 7 feet 6 and ^{5}/_{8} inches. Penny 

