41b. 60

42.

An easy way to solve for unknown sides and/or angles of a right triangle is to use

trigonometry.

Either of the two unknown angles in a right triangle can be found by

dividing one known side by the other known side; then looking up their quotient (answer)

in a Table of Natural Functions. In this table, angles (in degrees) are listed opposite the

function values.

NOTE:

For your convenience in solving trigonometry problems, the last page of this

booklet has a Table of Natural Functions. Take a quick glance at it now; then

continue on this page.

In trigonometry, the acute angles of a right triangle are called PHI (pronounced fi) and

side (altitude). Angle theta is formed by the hypotenuse and the horizontal side/base).

The symbol for phi is and for theta is . The symbol

means "angle phi" and

means "angle theta."

On the drawing below, place the symbols for phi and theta beside the arc (

) that

scribes the correct angle for each.